内蒙古呼和浩特市2019年中考试题 (扫描版含答案)

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内蒙古呼和浩特市2019年中考化学、物理试题 (word版,含答案)

2019年呼和浩特市中考理综试卷注意事项:1.考生务必将自己的姓名、准考证号填涂在试卷和答题卡的规定位置2.考生要将答案写在答题卡上，在试卷上答題一律无效。

考试结束后，本试卷和题卡一并交回。

3.本试卷满分120分。

考试时间120分钟。

物理部分(满分70分)一、选择题(本题包括10小题，共22分。

前8个小题为单选题，每题选对得2分，选错得0分。

后两个小题为多选题，全部选对得3分，选对不全得2分，有选错的得0分。

本卷g=10 N/kg)。

1.炎炎夏日，洒了水的地面，晾在阳光下的湿衣服，过一会儿就变干了；烧开着的水，过一会水就变少了。

关于这两种热现象，下列解释正确的是A前者是汽化吸热，后者也是汽化吸热B.前者是汽化放热，后者是升华吸热C.前者是熔化吸热，后者是升华吸热D.前者是凝固放热，后者是液化放热2.中华文明，源远流长。

例如光现象，《墨经》中就曾经记载了影子的形成、平面镜反射等光学问题。

下画四图中，光现象与影子的形成原理相同的是3.下列数据较符合实际的是A一张中考物理试卷的面积约为1.5m2B.正常人听觉频率范围是20Hz~2000HzC.一支新2B铅笔的长度约为18dmD初中男生百米跑的时间约为14s4.关于家庭电路，下列说法中正确的是A在家庭电路中，同时工作的用电器越多，总电阻越大B.家庭电路中总电流过大，保险丝熔断，一定是由于电路中用电器过多，实际功率过大引起的C.用电器使用三线插头，是为了防止漏电而采取的保护措施D.保险丝一般选用电阻比较小，熔点比较低的合金制作而成5.小明开着小货车运送货物，货车在平直公路上做匀速直线运动，下列说法正确的是A小货车所受的重力与路面对小货车的支持力是一对平衡力B.小货车行驶过程中以路边的树木为参照物，车是静止的C.小货车刹车后还要滑行一段距高是因为受到惯性力的作用D.小货车对公路的压力与公路对货车的支持力是相互作用力6.如图所示，电源电压一定。

关于电路的工作情况，下列说法正确的是A.同时闭合两个开关，两只灯泡电流是相同的B若先闭合S1，再闭合S2，电压表读数不变、电流表读数变大C.若电压表和电流表位置对调，闭合S1、S2后，则两表都被烧坏D.若灯L1被短路，闭合S1、S2后，灯L1不亮，灯L2亮，电流表损坏7.下列说法正确的是A.对于液体产生的压强，密度一定时，其压强与深度的关系可以用A图表示B水平面上静止的质量均匀、形状为正方体的物体，其对水平面的压强与其接触面积的关系可以用B图表示C.对于不同物质，质量相同时，其密度与体积的关系可以用C图表示D.流体产生的压强，其压强与流速变化的关系可以用D图表示8.用电器甲和乙，其电流与其两端电压关系如图所示，其中直线表示用电器甲的电流与其两端电压关系图。

2019年内蒙古呼和浩特市中考语文试卷(含答案)

2019年呼和浩特市中考试卷语文注意事项：1.考生务必将自己的姓名、准考证号填涂在试卷和答题卡的规定位置。

2.考生必须把答案写在答题卡上，在试卷上答题一律无效。

考试结束后，本试卷和答题卡一并交回。

3.本试卷满分120分。

考试时间150分钟。

一、积累与运用（18分）1.阅读下面的语句，根据拼音写汉字，给加点字注音，为句子空缺处选填恰当的词语。

（3分）（1）索溪峪的山，是一种páng bó的美：不是一峰独秀，也不是三五峰呼应，而是峰峦起伏，绵亘．蜿蜒。

这种美，是一种不拘一格、令人心荡神驰的美：或直插云天，或横拦绿水，或旁逸斜出，自成姿态，崛．起题毫“斜山”。

（2）黄河博大宽厚，柔中有刚；遇强则抗，勇往直前。

它被两岸的山、地下的石逼得忽上忽下、忽左忽右时（A.铸成 B.铸造）了自己伟大的性格。

这伟大只在冲过壶口的一刹那才（C.闪现 D.闪动）出来被我们看见。

2.下列短语与“心荡神驰”结构类型相同的是（1分）①山清水秀②不拘一格③余音绕梁④拔地而起⑤古往今来3.请选出下列句中没有语病的一项。

（2分）A.在我黄发垂髫初懂事理的时候，母亲告诫我：勿懒惰要勤学。

B.最近，自治区内外30多家新闻界对我校进行了连续报道。

C.他明智而远见的发言，获得了全校师生的肯定与赞赏。

D.他离开学校后，仍然无时无刻不记着老师对他的叮嘱。

4.名著阅读。

（5分）（1）埃德加·斯诺运用形象化的描述，捕捉生动的细节，并在叙事中穿插评论，让《红星照耀中国》这本书里一个个鲜活的生命光耀着永恒和崇高。

①他建立了中国革命化军队在游击战中不可轻侮的战斗力。

他和毛泽东的联合不是互相竞争的，而是相辅相成的。

②红军战士一个个站出来愿意冒生命危险。

四川军队大概从来没有见过这样的战士——这些人当兵不只是为了有个饭碗，这些青年为了胜利而甘于送命。

③沉着谦虚，说话轻声，眼光非常和蔼。

有铁一般的臂膀和腿。

喜欢运动，喜欢读书。

④他们的英勇故事流传很多，他们永远是愉快的，乐观的。

2019年内蒙古呼和浩特市中考数学试题(原卷+解析)

2019年内蒙古呼和浩特市中考数学试卷参考答案一、选择题1．【解答】解：由题意得：四个排球质量偏差的绝对值分别为：0.6，0.7，2.5，3.5，绝对值最小的为0.6，最接近标准．故选：A．2．【解答】解：A、是轴对称图形，故本选项错误；B、不是轴对称图形，故本选项正确；C、是轴对称图形，故本选项错误；D、是轴对称图形，故本选项错误．故选：B．3．【解答】解：由一次函数y＝ax+a可知，一次函数的图象与x轴交于点（﹣1，0），排除A、B；当a＞0时，二次函数开口向上，一次函数经过一、三、四象限，当a＜0时，二次函数开口向下，一次函数经过二、三、四象限，排除C；故选：D．4．【解答】解：如图，∵四边形ABCD是菱形，∴OA＝OC＝AC＝1，OB＝OD，AC⊥BD，∴OB＝＝＝2，∴BD＝2OB＝4；故选：C．5．【解答】解：A、从2013年到2016年，该校纸质书人均阅读量逐年增长，正确；B、2013年至2018年，该校纸质书人均阅读量的中位数是本，正确；C、2013年至2018年，该校纸质书人均阅读量的极差是60.8﹣15.5＝45.3本，正确；D、2013年至2018年，该校后三年纸质书人均阅读量总和是前三年纸质书人均阅读量总和的倍，错误；故选：D．6．【解答】解：解不等式﹣1≤2﹣x得：x≤，∵不等式﹣1≤2﹣x的解集中x的每一个值，都能使关于x的不等式3（x﹣1）+5＞5x+2（m+x）成立，∴x＜，∴＞，解得：m＜﹣，故选：C．7．【解答】解：由三视图可知，该几何体是长方体，中间是空心圆柱体，正方体的长宽高分别为4，4，3，圆柱体直径为2，高为3，正方体表面积：4×4×2+4×3×4＝80，圆柱体表面积2×3＝6π，上下表面空心圆面积：2π，∴这个几何体的表面积是：80+6π﹣2π＝80+4π，故选：B．8．【解答】解：∵x1，x2是一元二次方程x2+x﹣3＝0的两个实数根，∴x1+x2＝﹣1，x1•x2＝﹣3，x12+x1＝3，∴x22﹣4x12+17＝x12+x22﹣5x12+17＝（x1+x2）2﹣2x1x2﹣5x12+17＝（﹣1）2﹣2×（﹣3）﹣5x12+17＝24﹣5x22＝24﹣5（﹣1﹣x1）2＝24﹣5（x12+x1+1）＝24﹣5（3+1）＝4，故选：D．9．【解答】解：如图，连接OA、OD，过点A作AF⊥x轴于点F，过点D作DE⊥x轴于点E，易证△AFO≌△OED（AAS），∴OE＝AF＝，DE＝OF＝2，∴D（，﹣2），∵B、D关于原点对称，∴B（﹣，2），故选：B．10．【解答】解：①设＝y，那么可以将原方程化为关于y的整式方程y2+y﹣2＝0，故正确；②作OF⊥BC．∵∠OCF＝72°÷2＝36°，∴CF＝r•cos36°，∴CB＝2r cos36°，即a＝2r cos36°．故错误；③这个圆锥母线长为R，根据题意得2π•＝，解得R＝3．即它的母线长是3，．故错误；④二次函数y＝ax2﹣2ax+1的对称轴是x＝2，如图：．此时|x1﹣1|＞|x2﹣1|，y1＝y2＝0，所以a（y1﹣y2）＝0．故错误．综上所述，正确的命题的个数为1个．故选：A．二、填空题（本大题共6小题，每小题3分，共18分，本题要求把正确结果填在答题卡规定的横线上，不需要解答过程）11．【解答】解：原式＝y（x2﹣4y2）＝y（x﹣2y）（x+2y）．故答案为：y（x﹣2y）（x+2y）．12．【解答】解：①底边和顶角对应相等的两个等腰三角形全等；正确；②两边及其中一边上的中线对应相等的两个三角形全等；正确；③斜边和斜边上的中线对应相等的两个直角三角形全等；不正确；故答案为：①②．13．【解答】解：画树状图如图所示：共有36种等可能的结果数，其中至少有一枚骰子的点数是6的结果数为11，所以至少有一枚骰子的点数是6的概率＝．故答案为：．14．【解答】解：∵关于x的方程mx2m﹣1+（m﹣1）x﹣2＝0如果是一元一次方程，∴2m﹣1＝1，即m＝1或m＝0，方程为x﹣2＝0或﹣x﹣2＝0，解得：x＝2或x＝﹣2，故答案为：x＝2或x＝﹣2．15．【解答】解：如图：延长AD、BG相交于点H，∵正方形ABCD的面积是2，∴AB＝BC＝CDA＝，又∵CE＝，△EFC∽△EAB，∴，即：F是CD的中点，∵AH∥BE，∴∠H＝∠FBC，∠BCF＝∠HDF＝90°∴△BCF≌△HDF（AAS），∴DH＝BC＝，∵AH∥BE，∴∠H＝∠FBC，∠H DG＝∠BEG∴△HDG∽△BEG，∴，在Rt△ABH中，BH＝，∴BG＝，故答案为：16．【解答】解：由题意可知：2b2﹣5ab+3a2＞﹣3，∴3a2﹣5ab+2b2+3＞0，∵对任意实数a，3a2﹣5ab+2b2+3＞0恒成立，∴△＝25b2﹣12（2b2+3）＝b2﹣36＜0，∴﹣6＜b＜6；故答案为﹣6＜b＜6；三、解答题（本大题共9小题，满分72分，解答应写出文字说明、证明过程或演算步骤17．【解答】解：（1）（1）÷（﹣）+×﹣（）﹣2＝﹣×+﹣（1﹣）2＝﹣2+6﹣4+2＝2；（2）（+）÷＝÷＝•＝，当x＝3，y＝时，原式＝＝．18．【解答】解：（1）∵在△ABC中，a＝6，b＝8，c＝12，∴∠A+∠B＜∠C；（2）如图，过点A作MN∥BC，∵MN∥BC，∴∠MAB＝∠B，∠NAC＝∠C（两直线平行，同位角相等），∵∠MAB+∠BAC+∠NAC＝180°（平角的定义），∴∠B+∠BAC+∠C＝180°（等量代换），即：三角形三个内角的和等于180°；（3）∵＝，∴ac＝（a+b+c）（a﹣b+c）＝[（a2+2ac+c2）﹣b2]，∴2ac＝a2+2ac+c2﹣b2，∴a2+c2＝b2，∴△ABC是直角三角形．19．【解答】解：原方程化为一般形式为2x2﹣9x﹣34＝0，x2﹣x＝17，x2﹣x+＝17+，（x﹣）2＝，x﹣＝±，所以x1＝，x2＝．20．【解答】解：过点C作CD⊥AB于点D，∵丙地位于甲地北偏西30°方向，距离甲地460km，．在Rt△ACD中，∠ACD＝30°，∴AD＝AC＝230km．CD＝AB＝230km．∵丙地位于乙地北偏东66°方向，在Rt△BDC中，∠CBD＝23°，∴BD＝＝（km）．∴AB＝BD+AD＝230+（km）．答：公路AB的长为（230+）km．21．【解答】解：（1）第二组数据的平均数为（0.4﹣0.2+0.2﹣0.1+0.1+0+1.2+0.6+0﹣0.6+1.1+0.5+0.6﹣0.5+0.3+0.7+0.9+1.7﹣0.2+1.3）＝0.4，所以这20户家庭的平均年收入＝1.5+0.4＝1.9（万），130×1.9＝247，估计全村年收入为247万；全村家庭年收人超过1.5万元的百分比为×100%＝65%；某家庭过去一年的收人是1.89万元，则该家庭的收入情况在全村处于中下游；（2）小王的结果不正确．第一组数据的方差和第二组数据的方差一样．它们的方差＝[（0.4﹣0.4）2+（﹣0.2﹣0.4）2+（0.2﹣0.4）2+…+（1.3﹣0.4）2]＝0.34．22．【解答】解：（1）设小王的实际行车时间为x分钟，小张的实际行车时间为y分钟，由题意得：1.8×6+0.3x＝1.8×8.5+0.3y+0.8×（8.5﹣7）∴10.8+0.3x＝16.5+0.3y0.3（x﹣y）＝5.7∴x﹣y＝19∴这两辆滴滴快车的实际行车时间相差19分钟．（2）由（1）及题意得：化简得①+②得2y＝36∴y＝18 ③将③代入①得x＝37∴小王的实际行车时间为37分钟，小张的实际行车时间为18分钟．23．【解答】解：（1）根据题意得：OB+OC＝7，OB2+OC2＝52，∵OC＞OB，∴OB＝3，OC＝4，∴A（3，4），把A（3，4）代入反比例函数y＝中，得m＝3×4＝12，∴反比例函数为：y＝，∵点（﹣a，y1）和（a+1，y2）在反比例函数的图象上，∴﹣a≠0，且a+1≠0，∴a≠﹣1，且a≠0，∴当a＜﹣1时，﹣a＞0，a+1＜0，则点（﹣a，y1）和（a+1，y2）分别在第一象限和第三象限的反比例函数的图象上，于是有y1＞y2；当﹣1＜a＜0时，﹣a＞0，a+1＞0，若﹣a＞a+1，即﹣1＜a＜﹣时，y1＜y2，若﹣a＝a+1，即a＝﹣时，y1＝y2，若﹣a＜a+1，即﹣＜a＜0时，y1＞y2；当a＞0时，﹣a＜0，a+1＞0，则点（﹣a，y1）和（a+1，y2）分别在第三象限和第一象限的反比例函数的图象上，于是有y1＜y2；综上，当a＜﹣1时，y1＞y2；当﹣1＜a＜﹣时，y1＜y2；当a＝﹣时，y1＝y2；当﹣＜a＜0时，y1＞y2；当a＞0时，y1＜y2．（2）∵一次函数y＝kx+b的图象过点A（3，4）并与x轴交于点（﹣1，0），∴，解得，，∴一次函数的解析式为：y＝x+1；解方程组，得，，∴一次函数y＝kx+b的图象与反比例函数y＝的图象相交于两点（﹣4，﹣3）和（3，4），当一次函数y＝kx+b的图象在反比例函数y＝的图象下方时，x＜﹣4或0＜x＜3，∴kx+b﹣＜0成立时，对应x的取值范围：x＜﹣4或0＜x＜3．24．【解答】解：（1）连接BD、OE，∵AB是直径，则∠ADB＝90°＝∠ADO+∠ODB，∵DE是切线，∴∠ODE＝90°＝∠EDB+∠BDO，∴∠EDB＝∠ADO＝∠CAB，∵∠ABC＝90°，即BC是圆的切线，∴∠DBC＝∠CAB，∴∠EDB＝∠EBD，则∠BDC＝90°，∴E为BC的中点；（2）△AHD和△BMH的外接圆面积之比为3，则两个三角形的外接圆的直径分别为AD、BM，∴AD：BM＝，而△ADH∽△MBH，∴DH：BH＝，则DH＝HM，∴HM：BH＝，∴∠BMH＝30°＝∠BAC，∴∠C＝60°，E是直角三角形的中线，∴DE＝CE，∴△DEC为等边三角形，⊙O的面积：12π＝（AB）2π，则AB＝4，∠CAB＝30°，∴BD＝2，BC＝4，AC＝8，而OE＝AC＝4，四边形OBED的外接圆面积S2＝π（2）2＝2π，等边三角形△DEC边长为2，则其内切圆的半径为：，面积为，故△DEC的内切圆面积S1和四边形OBED的外接圆面积S2的比为：．25．【解答】解：（1）把点A（2，0）代入y＝kx+4得：2k+4＝0∴k＝﹣2∴一次函数的解析式为y＝﹣2x+4∵二次函数y＝ax2﹣bx+c的图象过点A（2，0），且a＝b∴4a﹣2a+c＝0解得：c＝﹣2a∴二次函数解析式为y＝ax2﹣ax﹣2a（a≠0）当ax2﹣ax﹣2a＝0，解得：x1＝2，x2＝﹣1∴二次函数与x轴交点坐标为（2，0），（﹣1，0）．（2）证明：由（1）得：直线解析式为y＝﹣2x+4，抛物线解析式为y＝ax2﹣ax﹣2a整理得：ax2+（2﹣a）x﹣2a﹣4＝0∴△＝（2﹣a）2﹣4a（﹣2a﹣4）＝a2﹣4a+4+8a2+16a＝9a2+12a+4＝（3a+2）2∵a＞c，c＝﹣2a∴a＞﹣2a∴a＞0∴3a+2＞0∴△＝（3a+2）2＞0∴关于x的一元二次方程有两个不相等的实数根∴直线与抛物线还有另一个异于点A的交点（3）∵c＜a≤c+3，c＝﹣2a∴﹣2a＜a≤﹣2a+3∴0＜a≤1，抛物线开口向上∵整理得：ax2+（2﹣a）x﹣2a﹣4＝0，且△＝（3a+2）2＞0∴x＝∴x1＝2（即点A横坐标），x2＝﹣1﹣∴y2＝﹣2（﹣1﹣）+4＝+6∴直线y＝kx+4与抛物线y＝ax2﹣bx+c的另一个交点B的坐标为（﹣1﹣，）∵抛物线y＝ax2﹣ax﹣2a＝a（x﹣）2﹣a∴顶点M（，﹣a），对称轴为直线x＝∴抛物线对称轴与直线y＝﹣2x+4的交点N（，3）∴如图，MN＝3﹣（﹣a）＝3+a∴S＝S△AMN ﹣S△BMN＝MN（x A﹣）﹣MN（﹣x B）＝（3+a）（2﹣）﹣（3+a）（+1+）＝（3+a）（﹣﹣）＝3a﹣+∵0＜a≤1∴0＜3a≤3，﹣≤﹣3∴当a＝1时，3a＝3，﹣＝﹣3均取得最大值∴S＝3a﹣+有最大值，最大值为．。

内蒙古呼和浩特市2019年中考数学试卷及答案解析

9．如图，面积为 24 的正方形 ABCD 中，有一个小正方形 EFGH，其中 E、F、G 分别在 AB、BC、FD 上．若
③若关于 x、y 的方程组
有无数多组解，则 a=b=1； Nhomakorabea④将多项式 5xy+3y﹣2x2y 因式分解，其结果为﹣y（2x+1）（x﹣3）．
其中正确的命题的序号为
．
三、解答题（本题共 9 小题，满分 72 分，解答应写出文字说明，证明过程或演算步骤） 17．计算
（1）计算：（）﹣2+| ﹣2|+3tan30°
离为 18，则弦 CD 的长为
．
15．已知平行四边形 ABCD 的顶点 A 在第三象限，对角线 AC 的中点在坐标原点，一边 AB 与 x 轴平行且
AB=2，若点 A 的坐标为（a，b），则点 D 的坐标为
．
16．以下四个命题：
①对应角和面积都相等的两个三角形全等；
②“若 x2﹣x=0，则 x=0”的逆命题；
（2）先化简，再求值： ﹣
÷
，其中 x=﹣ ．
18．在一次综合实践活动中，小明要测某地一座古塔 AE 的高度．如图，已知塔基顶端 B（和 A、E 共线）与地面 C 处固定的绳索的长 BC 为 80m．她先测得∠BCA=35°，然后从 C 点沿 AC 方向走 30m 到达 D 点，又测得塔顶 E 的仰角为 50°，求塔高 AE．（人的高度忽略不计，结果用含非特殊角的三角函数表示）
A． B． C． D． 7．已知一次函数 y=kx+b﹣x 的图象与 x 轴的正半轴相交，且函数值 y 随自变量 x 的增大而增大，则 k，b 的取值情况为（） A．k＞1，b＜0 B．k＞1，b＞0 C．k＞0，b＞0 D．k＞0，b＜0 8．一个几何体的三视图如图所示，则该几何体的表面积为（）

2019年内蒙古呼和浩特市中考语文试卷(word版,含答案)

2019年呼和浩特市中考语文试卷注意事项：1.考生务必将自己的姓名、准考证号填涂在试卷和答题卡的规定位置。

2.考生必须把答案写在答题卡上，在试卷上答题一律无效。

考试结束后，本试卷和答题卡一并交回。

3.本试卷满分120分。

考试时间150分钟。

一、积累与运用（18分）1.阅读下面的语句，根据拼音写汉字，给加点字注音，为句子空缺处选填恰当的词语。

（3分）（1）索溪峪的山，是一种páng bó的美：不是一峰独秀，也不是三五峰呼应，而是峰峦起伏，绵亘．蜿蜒。

这种美，是一种不拘一格、令人心荡神驰的美：或直插云天，或横拦绿水，或旁逸斜出，自成姿态，崛．起题毫“斜山”。

（2）黄河博大宽厚，柔中有刚；遇强则抗，勇往直前。

它被两岸的山、地下的石逼得忽上忽下、忽左忽右时（A.铸成 B.铸造）了自己伟大的性格。

这伟大只在冲过壶口的一刹那才（C.闪现 D.闪动）出来被我们看见。

2.下列短语与“心荡神驰”结构类型相同的是（1分）①山清水秀②不拘一格③余音绕梁④拔地而起⑤古往今来3.请选出下列句中没有语病的一项。

（2分）A.在我黄发垂髫初懂事理的时候，母亲告诫我：勿懒惰要勤学。

B.最近，自治区内外30多家新闻界对我校进行了连续报道。

C.他明智而远见的发言，获得了全校师生的肯定与赞赏。

D.他离开学校后，仍然无时无刻不记着老师对他的叮嘱。

4.名著阅读。

①他建立了中国革命化军队在游击战中不可轻侮的战斗力。

他和毛泽东的联合不是互相竞争的，而是相辅相成的。

②红军战士一个个站出来愿意冒生命危险。

四川军队大概从来没有见过这样的战士——这些人当兵不只是为了有个饭碗，这些青年为了胜利而甘于送命。

③沉着谦虚，说话轻声，眼光非常和蔼。

有铁一般的臂膀和腿。

喜欢运动，喜欢读书。

④他们的英勇故事流传很多，他们永远是愉快的，乐观的。

2019年内蒙古呼和浩特市中考英语真题及答案

2019年内蒙古呼和浩特市中考英语试卷及解答注意事项：1. 考生务必将自己的姓名、准考证号填写在试卷和答题卡的规定位置。

2. 考生要将解答写在答题卡上，在试卷上答题一律无效。

考题结束后，本试卷和答题卡一并交回。

3. 本试卷满分 120 分。

考题时间 120 分钟。

第Ⅰ卷 (选择题，共计 85 分)I. 单项选择：(共 15 小题；每小题 1 分，满分 15 分)1. We usually go swimming in _____summer. But in ______summer of 2018, we didn’t.A. / ; /B. a; aC. /; theD. a ; /【解析】我们通常在夏天去游泳．但是2018年的夏天，我们没去．【解答】根据句意：我们通常在夏天去游泳．但是2018年的夏天，我们没去．第一空泛指夏天，不加冠词；第二空特指2018年的夏天，用the．故选：C．2. —May I help you with some jeans, sir?—Yes, I’d like to try on those blue _______.B. one A. pairC. twoD. ones【解析】--先生，我能帮您挑选牛仔裤吗？--是的，我想试穿那些蓝色的牛仔裤．【解答】根据those blue可知用复数，代词ones代替jeans，句意：是的，我想试穿那些蓝色的牛仔裤．故选：D．3. —Jack, let’s have a picnic aft er school.—Sorry. I have ______Frank to work on the biology report with him.A. AdviseB. expectedC. suggestedD. promised解析】-杰克，放学后我们去野餐吧．-抱歉．我答应弗莱克和他一起做生物学报告．【解答】A表示建议，B表示期待、盼望，C表示建议，D表示承诺、允诺．根据题干中Sorry可知杰克不能放学后去野餐，因为他承诺弗莱克和他一起去做生物学报告，其中promise sb． to do sth．表示承诺某人做某事．故选：D4. _______me an email before you come to Hohhot, and I’ll meet you at the train station.A. SendB. SendingC. To sendD. Sent【解析】你来呼和浩特之前给我发一封电子邮件，我在火车站等你．【解答】根据句意：你来呼和浩特之前给我发一封电子邮件，我在火车站等你．可知句子是祈使句，以动词原形开头．故选：A．5. — Did you call Michael back?—I didn’t need to,________I’ll see him tomorrow.A. UnlessB. becauseC. whenD. though【解析】-你给迈克尔回电话了吗？-我没有必要．因为我明天会见到他．【解答】根据句意：-你给迈克尔回电话了吗？-我没有必要．因为我明天会见到他．结合选项，A．除非 B．因为 C．当…时 D．虽然，选项B符合题意．故选：B6. Sitting down after a walk is relaxing. But would you like to sit on a seat_____tell you your weight?A. /B. whoC. whomD. that【解析】散步后坐下来是放松的．但是你愿意坐在一个能告诉你体重的座位上吗？【解答】根据句意：散步后坐下来是放松的．但是你愿意坐在一个能告诉你体重的座位上吗？可知考查定语从句的关系代词，先行词是seat，指物．作主语，关系代词用that/which，故选：D．7. Guan Dong saved an old lady out of the Yangtze River. ________great courage he showed!A. What aB. WhatC. How aD. How【解析】关董救了一位老太太走出长江．他表现出多么杰出的勇气啊！【解答】从句意知，本题考查的是感叹句，由于courage是不可数名词，因此用感叹词 What，故选：B．8. Ben was helping his mother when the rain began to beat heavily ________the windows.A. againstB. acrossC. aboveD. below【解析】本正在帮他妈妈的忙，这时雨开始猛烈地打在窗户上．【解答】against"反对、违反，对…不利（敲打）"； above"超过、在…下面"；below"在…下面、低于"；across"横穿"，四者都是介词，因make mistakes in "在…犯错误"．由题干" 本正在帮他妈妈的忙，这时雨开始猛烈地打在窗户上．"可知，空格是"打"，用against，所以解答应是against．故选：A．9. I really need to take more exercise because I’m _______weight.A. putting downB. putting onC. putting offD. putting away【解析】我真的需要多锻炼因为我长胖了．【解答】put off"推迟"；put on"穿上；增加"；put down"放下"；put away"放好"．根据need to take more exercise 可知，因为我体重增加，所以需要减肥，故选：B．10. —Will you do any cleaning in the park this Sunday?—_______! I do so every Sunday.A. Nice workB. No shoutingC. You betD. Inwith a chance【解析】这个星期天你会打扫公园吗？肯定!我每个星期天都这样做．【解答】考查情境对话．A．Nice work干得好；B．No shouting 不要喊；C．You bet肯定!D．In with a chance有机会．根据I do so every Sunday．可知应说当然!故选：C．11. —He is planning to walk on the wings of the a flying plane.—What? I have never heard of ______idea before.A. A crazierB. the crazierC. a creaziestD. thecreaziest【解析】翻译：--特技演员正计划在飞行的飞机机翼上走．--什么？我以前从未听说过一个比这更疯狂的想法．【解答】根据句意"没有听过比这更疯狂的一个想法"，"听过的想法"与"这一个"比较是比较级，"一个"指"听过的想法"里的任何一个，表泛指，又crazier的第一个音是辅音，所以用a，故选：A．12. The shop in Wanda Square _______for six years, but I ______there so far.A. has opened; haven’t goneB. has been opened ; haven’t beenC. has been open ; haven’t goneD. has been opened; haven’t been【解析】万达广场的商店已经开了六年了，但到目前为止我还没有去过．【解答】解答：B．考查动词短语．第一个空，由so far到目前为止．可知，现在完成时态．beopen表示延续性动作．be的过去分词是been．A，D不正确．第二个空，have been去过（已经回来了）．have gone去了（没回来）．结合语境"我还没有去过"，用haven't been．C不正确．故选：B．13. It is wise ______Linda to make up her mind _______to play an instrument.A. for ; learningB. for ; to learnC. of ; learningD. of ; to learn【解析】对琳达来说明智的做法是下定决心学会演奏乐器．【解答】with"用、和…一起"；by"通过、被、由"；in"在…之内"；for"为、为了、对"，四者都是介词，learn"学习"是动词原形，它的不定式是to learn，它的动名词或不定式是learn．It's adj for/of sb to do sth．"对某人来说…样"，用for 是因为前面的adj是来描述do后面的sth．用of ，adj就用来形容sb的，it is adj of sb to do，这里的形容词是形容人的性格特征的，如nice，kind clever，foolish，smart，都是形容人的，itis adj for sb to do就是普通的形容词，如hard，impossible，important．空格用for，因此解答应是for．由题干"对琳达来说明智的做法是下定决心学会演奏乐器．"可知，第一个空格用for；第二个空格用to learn，因此解答应是for；to learn．故选：D．14. Frederick _______entered the final competition last month. His hobby has brought him_______.A. successful ; successB. successful ; successfullyC. successfully ; successD. successfully ; successful【解析】弗雷德里克上个月成功参加了最后的比赛．他的爱好使他成功了．【解答】success成功，名词；successful成功的，形容词；successfully成功地，副词；结合句意"弗雷德里克上个月成功参加了最后的比赛．他的爱好使他成功了"可知，前空要用副词作状语，后空用名词作宾语．故选：C．15. She was so angry at ______he was doing ______she walked out without a word.A. what; thatB. that ; whatC. what ; whatD.that ; that【解析】她对他所做的事很生气，以至于她一言不发地走了出去．【解答】根据句意：她对他所做的事很生气，以至于她一言不发地走了出去．第一空考查what引导的宾语从句；第二空考查so…that…如此…以至于…故选：A．II. 完型填空：(共 20 小题；每小题 1 分，满分 20 分)A“The grass looks greener on the other side of the fence.” That’s an old 16 in English. It means other places often look better, more interesting than the place in 17you live. Some people worry 18 young Chinese are beginning to feel that way. Theysee young Chinese paying no attention to Chinese culture and, 19 , buying Japanesecartoon books, watching Korean soap operas and even celebrating western holidays.Foreign books and soap operas are good, 20 Chinese writers and actors are justas good. As for holidays, Christmas is nice, but it can 21 have the meaning for Chinesethat Spring Festival has, and the West has nothing to compare with Mid-autumn Festival. Andlet's not forget the part of Chinese culture I like best: 22 friendliness. Not all countries are as 23 as China.It's good to enjoy other cultures and to 24 from them, but they cannot replace your own culture. It's good to look on the other side of the fence, but 25 you take a good long look. You will find that the grass isn't always greener on the other side of the fence.16.A. word B. saying C. sentenceD. rule17.A. that B. when C. whereD. which18.A. that B. if C.why D. whether19.A. however B. besides C. insteadD. then20.A.and B. so C. butD. or21.A. still B. never C. al ways D. ever22.A. they B. their C. it D. its23.A. warm B. warmer C. co1dD. colder24.A. learns B. learning C. in learning D. to learn25.A. make up B. make up of C. makesure D. be sure to解析】这篇文章讲得是一则谚语：邻家芳草绿，隔岸风景好．同时，文章向我们提到，如果你的眼光放长远，会发现没有得到的东西未必更好．【解答】1．B 考查名词．句意："篱笆另一边的草看起来更绿"这是英语中一句古老的谚语．选项中，word意为"单词，话语"；saying意为"谚语"；sentence意为"句子"；rule意为"规则"，结合文意可知，这句话中蕴含着人生道理，可见不是一句单纯的话语，而是一句谚语，故选：B．2．D 考查定语从句关系词．句意：那句话意思是说，其他的地方看起来比你所居住的地方更好、更有趣．选项中，that意为"那个"；when意为"何时"；where意为"在哪儿"；which意为"哪一个"，此题考查定语从句中关系词的用法，定语从句修饰地点时，关系词通常用where，而where同样可以转换为in which，故选：D．3．A 考查宾语从句．句意：一些人担心中国的年轻人会开始那样想．选项中，that意为"那个"；if意为"如果、是否"；why意为"为什么"；whether意为"是否"，结合句意可知，一些人担心年轻人那样想，所以填入"如果"、"是否"、"为什么"都不符合题意，故应选用that，此句为宾语从句，在宾语从句中，通常that不作为从句主要成分，故可省略，没有实际意义，故选：A．4．C 考查副词．句意：他们看到年轻人对中国文化无感，相反，却去买日本动漫书籍、观看韩国肥皂剧甚至是过西方的节假日．选项中，however意为"然而"；besides意为"除…之外（还）"；instead意为"反而，代替，却"；then意为"那么"，结合句意，此处填入instead最为合适，意为"相反，反而"，故选：C．5．C 考查连词．句意：外国书籍和肥皂剧是很不错，但是中国的作家和演员同样很好．选项中，and意为"并且"；so意为"所以"；but意为"但是"；or意为"或者"，结合句子语境，填入but表示转折最为恰当，意为"但是"，故选：C．6．B 考查副词．句意：至于节假日，圣诞节是很好，但是它绝对没有春节在中国人心中的含义．选项中，still意为"仍然"；never意为"从不，绝不"；always意为"总是"；ever意为"曾经，在任何时候"，结合句子含义，再结合生活实际，我们知道，圣诞节是永远不会有春节在我们心中的地位高的，故选：B．7．D 考查形容词性物主代词．句意：不要忘了我最喜爱中国文化的那一部分：它的友爱！选项中，they意为"他们"；their意为"他们的"；it意为"它"；its意为"它的"，结合句意，作者提到，不要忘了他最喜爱的中国文化中的一部分：友爱！从句意中，我们可以了解到，这个友爱不是某个人的友爱，而是中国文化中的友爱，Chinese culture是不可数的，故要用it代替，而"中国文化的"，则用its来代替，故选：D．8．A 考查形容词．句意：不是所有的国家都和中国一样温暖．选项中，warm意为"温暖的"；warmer意为"更温暖的"；cold意为"寒冷的"；colder意为"更寒冷的"，结合前文，上一句话提到中国文化的友爱，所以说明中国很温暖，故排除C和D选项，而句中是as…as…结构，意为"和…一样…"，as和as之间，加上形容词和副词的原级，而非比较级，故选：A．9．D 考查动词．句意：喜爱其他文化，并且从中学习，这是好的现象．选项中，learn意为学习，learns是其三单形式，learning是其动名词形式，in learning是一个介词短语，tolearn是其动词不定式，题干处是一个形式主语：It is + adj + to do sth，意为"做某事是怎么样的"，故后面的动词，要用不定式结构，即to do sth，故选：D．10．C 考查动词短语．句意：看看篱笆另一边也是好的，但是要确保眼光足够好、足够长远．选项中，make up意为"化妆，构成"；make up of意为"由…构成"；make sure意为"确保"；be sure to意为"确定去…"，结合选项和句意，此处填入make sure最为恰当，意为"确保"，故选：CBA restaurant had one falled upon hard times. Only five 26 were left: the managerand four others, all over 60 years old.In the town near the restaurant therelived a successful businessman who was good atmanaging business, so the manager 27 to ask the businessman if he could offer anyadvice that might save the restaurant. The managerand the businessman talked for a longperiod of time, but when he was asked for advice, the businessman 28 for a while andthen said, “I have no advice to give. The only thing I can tell you is that the saver (救星)i s one of you.”The manager, returning to the restaurant 29 , told the other people what thebusinessman had said. In the months that 30 , the old restaurant workers thoughtcarefully of the words of the businessman, “The saver is one of us?” They a sked themselves.As they thought about this possibility, they all began to treat each other with 31respect(尊重). And thin that each of themselves might be the saver, they also began totreat themselves with more care.As time went by, people coming to the restaurant 32 that some respect and warmkindness were around the five old members of the small restaurant. Hardly knowing 33 ,more people began to come back to the restaurant. They began to bring their friends, andtheirs brought more friends. Two 34 later, the small restaurant had once againbecome a big food company, thanks to the businessman’s35 . They understood that it wasthey themselves that were the savers.26. A. cooks B. waiters C. membersD. cuntomers27. A. hoped B. began C. allowedD. decided28.A. stopped B. refused C. restedD. laughed29.A. angrily B. hopefully C. livelyD. nervously30. A. following B. followed C. goingD. gone31. A. strange B. similar C.strongD. special32. A. received B. advised C. feltD. wished33. A. what B. how C. whyD. when34. A. years B. days C. hoursD. minutes35. A. advice B. words C. methodsD.success【解析】本文通过一座饭店起死回生的故事说明，做事情要靠自己，要相信自己，搞好内部团结，才能干好事情．才能成功．【解答】1． C．考查名词．cooks厨师；waiters服务员；members 成员；customers顾客．根据语境可知，只有五名成员留了下来，即经理和其他四人．故选C．2． D考查动词．hoped希望； began 开始；allowed允许； decided决定．根据上文"In thetown near the restaurant there lived a successful businessman who was good atmanaging business"可知，在这家饭店附近的城里住着一名很擅长经营的商人，因此经理决定去询问商人，他是否能提供任何建议，以便挽救这座饭店．故选D．3． A．考查动词．stopped 停止；refused 拒绝； rested休息； laughed大笑．根据语境可知，但是当商人被问及建议时，他停顿了一会儿．故选A．4．B．考查副词．angrily生气地；hopefully 有希望地；lively活泼地； nervously紧张地．根据上文"The only thing I can tell you is that the saver is one of you"可知，我能告诉你的唯一事情是，拯救饭店的人是你们中的一个人．经理满怀希望地返回饭店，把商人说的话告诉其他人．故选B．5． B．考查动词．following（动名词）接下来的； followed（动词）跟从（服从；接着）；going（动名词）去； gone（过去分词）去．本句需要用动词作为从句的谓语，故知有B正确．句意：在接下来的几个月．故选B．6． C．考查形容词．strange奇怪的；similar 相似的；strong强壮的；special特殊的．根据语境可知，当他们考虑这种可能性时，他们都开始非常相互尊重．故选C．7．C．考查动词．received 收到； advised建议； felt 感觉；wished希望．根据语境可知，随着时间的过去，来饭店吃饭的人感觉到这个小饭店的五个成员存在着相互尊重和温情与善意．故选C．8．C．考查关系代词（副词）．what 什么； how 怎样；why为什么； when何时．根据语境可知，几乎不知道为什么，越来越多的人开始返回这里吃饭．故选C．9． A．考查名词．years 年；days日； hours 小时；minutes分钟．根据语境可知，由于商人的话，两年后，这个小饭店再次成为一个大食品．故选A．10． B．考查名词．advice建议； words 话； methods 方法；success成功．根据语境可知，根据上文"I have no advice to give． The only thing I can tell you is that thesaver is one of you"可知，我没有什么建议．我能告诉你的唯一事情是，拯救饭店的人是你们中的一个人．由于商人的话，两年后，这个小饭店再次成为一个大食品．故选B．III. 阅读理解:(共 25 小题；每小题 2 分，满分 50 分)ADo you want a job in the holiday? Just go for it. First, you need to know what kindof job is suitable for your age and interest.I f you’re 13 to 15.It seems that you can’t work almost anywhere, but you’re probably allowed to cleanyour neighbours’ cars or walk their dogs.There is no lowest wage(工资) for children under 16.By law, you can’t work more than 35 hours each week during school holidays. And you can’twork before 7 a.m. or after 7 p.m.If y’re 16 or 17.The lowest wage for 16-17 years old teenagers should be no less than 7 dollars per hour.You can’t work in a pub or bar, but you can work in many other places.By law, you can' t work more than 40 hours each week.What jobs are out there?Obviously your choices are limited (限制) by the fact that you can only work duringschool holidays, but the following situations are fine.At Christmas, most shops are shart of hands, so you may find something to do there. Inantumn, there’s always fruit pic . It can be pretty hard work, but it pays really well.If you’re mad about football, you can choose to work in a sports shop or help out at alocalfootball club. No matter how much you are paid, you are doing what you like.36. In the school holidays, 14-year-old kids __________________.A. can work anywhere they wantB. are not allowed towork aloneC. can’t go to work at nightD. can work aslong as 14 hours a day37. How much can a 16-year-old kid be paid at least in two hours?A. 21 dollars.B. 17 dollars.C. 14 dollars.D. 7 dollars.38. If you want to clean cars for others, you should at least be _____________.A. 16B. 15C. 14D. 1339. According to the passage, which statement is true?A. not right for childrenB. tiring but pays wellC. better than other jobsD. more interesting to girls40. According to the passage, which statement is true?A. If you are 17 years old, you’re not allowed to walk the dog for your neighbour.B. Teenagers can choose their jobs according to their interest.C. Fruit pic pays well because there are fewer people to pick it.D. Only football fan is allowed to work in a football club.【解析】文章介绍了不同年龄的青少年在进行暑期打工时的一些注意事项．【解答】1．C 内容理解题．根据By law，you can't work more than 35 hours each week during school holidays．And you can't work before 7am or after 7pm根据法律，在学校放假期间，你每周的工作时间不能超过35小时．你不能在早上7点之前或晚上7点之后工作，可知晚上不能去工作，故选C．2．C 内容理解题．根据The lowest wage for 16～17-year-old teenagers should be no less than seven dollars per hour16～17岁青少年的最低工资应该不低于每小时7美元，可知2个小时最少有14元，故选C．3．D 细节理解题．根据It seems that you can't work almost anywhere，but you're probably allowed to clean your neighbours' cars or walk their dogs看起来你几乎不能在任何地方工作，但是你可能被允许清洁你邻居的汽车或者遛狗，可知至少是13岁，故选D．4．B 细节理解题．由In autumn，there′s always fruit pic ．It can be pretty hard work，but it pays really well秋天，总是有水果采摘．这可能是相当艰苦的工作，但报酬确实很高，可知虽然很累但是报酬高，故选B．5．B 细节理解题．由No matter how much you are paid，you are doing what you like不管你得到多少报酬，你都在做你喜欢的事情，可知青少年应该根据兴趣选择兼职，故选B．BA new study finds that more than eighty percent of Internet users in the United States search of health information online.Susannah Fox from the Pew Internet Project says doctors are still the main source of health information. But the study found that searching online is one of the leading waysthat people look for a second opinion. He says, “People are sort of fact-chec what they have heard from a doctor. Our studies show that people are still very likely to turn to a health doctor when they need a diagosis (诊断) or are planning a treatment.”Forty-four percent of people are actually loo for doctors or other providers when they search for health information online. Two-thirds of Internet users look online for information about a certain disease or medical condition.The Internet has also become an important source of spiritual support for people with health problems. Susannah Fox says one in five Internet users has gone online to find other people who have the same condition.A disease is considered uncommon if it affects(侵袭) fewer than 200,000 people worldwide. The rise of social networ has made it easier for people with uncommon diseases to connect with each other and feel less alone. Social networ is also changing the way some doctors and patients communicate with each other.Dr. Jeff Livingston operates a medical center for women in Irving, Texas. His office uses password-protected ware to share information with patients. He says the ware has increased efficiency(效率)， reduced costs and improved relations with patients. It has just changed the way we do health care. His medical centre also has a Facebook page, a MySPace page and a Twitter feed.41. _______is one of the most popular ways people look for health informatioin.A. As their ParentsB. The Pew Internet ProjectC. Searching onlineD. Reading books on medicine42. What makes people search for health information online?A. Peoples interests in health.B. People’s health condition.C. Inportance of the Internet.D. The rise of online treatment.43. From the fourth paragraph we know that __________.A. people with health problems go online to look for the new treatmentB. people with health problems try to share their experience with others onlineC. people with health problems encourage each other online to fight against diseasesD. Internet becomes a place for people with health problems to reduce worries44. According to Paragraph 5, social newwor _______________.A. becomes a new way for doctors and patients to communicate with each otherB. encourgae people to get more help from doctors online in timeC. helps people to get more confidence about the treatment of their diseasesD. makes people easier to know more about what their diseases are45. What can we infer(推断) from the last paragraph?A. Interent is an easy way for doctors to treat their patients.B. Doctors should change their ways to treat their patients.C. Facebook, MySpace and Twitter become efficient tools for doctors.D. Most patients would like to ask their doctors for help online now.【解析】本文主要讲述了一项新的研究表面美国百分之八十的互联网用户在网上查找一些健康信息，以及这项研究背后的原因．【解答】（1）C．细节理解题．根据A new study finds that more than eighty percent of Internet users inthe United States search for health information online．一个新的研究发现，美国80%多的网络用户在网上搜寻有关健康的信息．故选C．（2）B．细节理解题．根据"Two thirds of Internet users look online for information about a certain disease or medical condition．"三分之二的网络用户在线查找关于某种疾病或身体状况的信息．故选B．（3）C．细节理解题．根据" The Internet has also become an important source of spiritual support for people with health problems．互联网也成为了人们对健康问题的一个重要精神支柱来源．Susannah Fox says one in five Internet users has gone online to find other people who have the same condition，Susannah Fox 说五分之一的互联网用户上网是为了寻找其他有一样状况的人．可知这些有健康问题的人可以相互鼓励战胜病魔．故选C．（4）A．细节理解题．根据The rise of social networ has made it easier for people with uncommon diseases to connect with each other and feel less alone．Socal net wor is also changing the way some doctors and patients com municate with each other．网络社交的升起让人们更加容易处理不寻常的疾病去和其他人联系且感觉到更加不会那么孤独．网络社交也正在改变一些医生和病人之间的沟通方式．可知这是一种新的医生与病人的沟通方式．故选A．（5）B．细节理解题．根据，．He says the ware has increased efficiency （效率），reduced costs and improved relations with patients．It has just changed the way we do health care．他说关键提高了效率，减少了成本且改善了和病人的关系，它已经改变了我们做医疗保健的方式．可知医生应该改变方式来对待他们的病人．故选B．COne day a young man was standing in a crowded place, shouting that he had the most beautiful heart in the world. Most of the people who saw his heart were amazed at the beauty of his heart.It had no little flaw (瑕疵).Suddenly, an old man appeared and said, “Oh, my son, your heart is not as beautiful as mine.”The old man showed his heart to the young man. It was beating strongly, but full of scars. It had places where pieces had been removed and other pieces put i n. But they didn’t fit quite right, and there were gaps and rough(崎岖不平的) edges. Some places have neverbeen filled in.The young man laughed, “My dear old man,▲ Comparing your heart with mine, mine is perfect and yours is full of scars.”The old man said, “Dear boy, my heart is just as beautiful as your heart. You see, each scar shows where I have given my love. Sometimes people give me a piece of their heart back, and it fills the space as best it can. Other times, I give my love and get nothing in return. Those are the empty spaces. They hurt, but they show me that I can love and love again. ”The young man stood still. His eyes were filled with tears. He walked up to the old man, tore a piece of his heart and gave the piece to the old man.The old man placed it in his heart, and then took a piece from his old scarred heart and placed it in the wound in the young man’s heart.The young man looked at his heart, not perfect anymore but more beautiful than ever.38. The underlined word “scars” means “” in Chinese.A. 疤痕B. 隔阂C. 斑点D. 补丁39. Which of the following can be put in ▲ ?A. I quite agree with you!B. it’s against the rules!C. are you jo ?D. what can I do for you?40. How did the young man feel after he heard what old man’s said?A. Surprised.B. Touched.C. Nervous.D. Proud.41. What does the story want to tell us?A. We should be proud of who we are.B. We shouldn’t think too much of ourselves.C. Nothing is difficult if we put our heart into it.D. Give our love, though we sometimes get nothing in return.42. What’s the BEST title for the passage?A. A Broken HeartB. The Most Beautiful HeartC. A Wise Old ManD. What is True Love?【解析】文章主要讲一个年轻人认为他有世界上最美丽的心．大多数看到他心脏的人都对他心脏的美丽感到惊讶．它没有一点瑕疵，但老人认为他的心没有自己的漂亮，老人的心满是伤痕，里面是爱的痕迹，年轻人因此大受感动．【解答】1．A 词语理解题．由It had places where pieces had been removed and other pieces put in．But they didn' t fit quite right，and there were gaps and roug h edges心上的一些部分被取走了，另外补上了其他人的，但并不十分吻合，还有几处边缘参差不齐，可知来访者为迈克感到难过此处是讲心脏伤痕累累，scar伤痕，故选A．2．C 内容理解题．根据Comparing your heart with mine，mine is perfect and yours is full of scars把你的心和我的相比，我的心是完美的，而你的满是伤疤，可知空格处是讲你在开玩笑吗，故选C．3．B 内容理解题．根据The young man stood still．His eyes were filled with tears那个年轻人一动不动地站着．他的眼里充满了泪水．可推知年轻人很感动，故选B．4．D 细节理解题．由You see each scar shows where I have given my love．Sometimes people give me a piece of their heart back，and it fills the space a s best it can．Other times，I give my love and get nothing in retur n．Those are the empty spaces．They hurt，but they show me that I can love and love again你可以看到每个伤疤都显示了我给的爱．有时人们会把他们的心还给我，它会尽可能地填满空间．其他时候，我献出我的爱，却没有得到任何回报．那些是空的空间．它们很痛，但它们向我展示了我可以再次去爱，可推知文章主要是为了告诉我们爱是给与，尽管有时候没有收到回报，故选D．5．B 主旨大意题．根据The young man looked at his heart，not perfect any more but more bea utiful than ever年轻人看着他的心，不再完美，而是比以往更加美丽．结合文章内容，文章主要讲一个年轻人认为他有世界上最美丽的心．大多数看到他心脏的人都对他心脏的美丽感到惊讶．它没有一点瑕疵，但老人认为他的心没有自己的漂亮，老人的心满是伤痕，里面是爱的痕迹，年轻人因此大受感动，因此B最美丽的心，符合语境，故选B．DA warm drink of milk before bed has long been the best choice for those wanting a good night’s sleep.But now a study has found it really does help people nod off—if it is milked from a cow at night.Researchers have discovered that “night milk” has more melatonin(褪黑激素), which has been proven to help people feel sleepy and less worried.In the study, mice were fed with dried milk powder made from cows milked both during the day and at night by researchers fron Seoul, South Korea.Those given night milk, which had 10 times the amount of melatonin, were less active and less worried than those fed with the milk collected during daytime, according to the study published in The Journal of Medicinal Food.Night milk quickened the start of sleep and caused the mice to sleep longer.While the effect of milk harvested at different time has not been tested on humans up to now, ta melatonin medicine has been suggested to those who are trying to fall asleep at night.Studies have also showed that milk can be excellent for helping sleep because there is calcium(钙) in it, which helps people to relax.Milk is also sugar-free because it is the least fattening. The more fat you take in before bedtime, the greater burden you will have on your body at night.根据上文内容判断正 (T) 误(F)51. According to the passage, the mice fed with daytime milk were less active.52. The study has been tested on mice for ten times.53. People with sleeping problems have been advised to drink milk collected during the night by researchers.54. Milk is good for sleep because there is meletonin and calcium in it.55. The wrtier shows the main idea of the passage by giving examples.文章主要讲了一项研究发现，如果是在晚上从奶牛身上挤奶，能帮助人们打瞌睡．科学家以老鼠进行实验发现，那些喝夜间牛奶的人比那些喝白天收集的牛奶的人更容易睡着．【解答】1．F 内容理解题，根据Those given night milk，which had 10 times the amount of melatonin，were lessactive and less worried than those fed with the milk collected during daytime与那些白天喝牛奶的相比，那些喝了含有10倍褪黑激素的夜间牛奶的人不那么活跃，也不那么焦虑，可知喝夜间牛奶更加不活跃而不是喝日间牛奶，故填F．2．F 内容理解题，根据Those given night milk，which had 10 times the amount of melatonin，were lessactive and less worried than those fed with the milk collected during daytime与那些白天喝牛奶的相比，那些喝了含有10倍褪黑激素的夜间牛奶的人不那么活跃，也不那么焦虑，可知不是在老鼠身上测试10次，故填F．3．F 内容理解题，根据While the effect of milk harvested at different time has not been test ed on humansup to now，ta melatonin medicine has been suggested to those who a re trying to fall asleep at night虽然到目前为止不同时间收获的牛奶对人类的影响还没有被测试过，但是已经有人建议那些晚上试图入睡的人服用褪黑激素药物，可知是建议那些晚上试图入睡的人服用褪黑激素药物，故填F．4．T 内容理解题，根据Researchers have discovered that" night milk" has more melatonin研究人员发现，"夜间牛奶"含有更多褪黑激素和Studies have also showed that milk can be excellent for helping sleep because there is calcium in it研究还表明，牛奶有助于睡眠，因为它含有钙，可知牛奶有助于睡眠，因为它含有钙和褪黑激素，故填T．5．F 内容理解题，根据But now a study has found it really does help people nod off- if it。

2019年内蒙古呼和浩特市中考数学试题(Word版,含解析)

2019年内蒙古呼和浩特市中考数学试卷一、选择题（每小题3分，共30分。

）1．如图，检测排球，其中质量超过标准的克数记为正数，不足的克数记为负数，下面检测过的四个排球，在其上方标注了检测结果，其中质量最接近标准的一个是（）A．B．C．D．2．甲骨文是我国的一种古代文字，下面是“北”“比”“鼎．射”四个字的甲骨文，其中不是轴对称的是（）A．B．C．D．3．二次函数y＝ax2与一次函数y＝ax+a在同一坐标系中的大致图象可能是（）A．B．C．D．4．已知菱形的边长为3，较短的一条对角线的长为2，则该菱形较长的一条对角线的长为（）A．2B．2C．4D．25．某学校近几年来通过“书香校园”主题系列活动，倡导学生整本阅读纸质课外书籍．下面的统计图是该校2013年至2018年纸质书人均阅读量的情况，根据统计图提供的信息，下列推断不合理的是（）A．从2013年到2016年，该校纸质书人均阅读量逐年增长B．2013年至2018年，该校纸质书人均阅读量的中位数是46.7本C．2013年至2018年，该校纸质书人均阅读量的极差是45.3本D．2013年至2018年，该校后三年纸质书人均阅读量总和是前三年纸质书人均阅读量总和的2倍6．若不等式﹣1≤2﹣x的解集中x的每一个值，都能使关于x的不等式3（x﹣1）+5＞5x+2（m+x）成立，则m的取值范围是（）A．m＞﹣B．m＜﹣C．m＜﹣D．m＞﹣7．如图是一个几何体的三视图，其中主视图与左视图完全一样，则这个几何体的表面积是（）A．80﹣2πB．80+4πC．80 D．80+6π8．若x1，x2是一元二次方程x2+x﹣3＝0的两个实数根，则x22﹣4x12+17的值为（）A．﹣2 B．6 C．﹣4 D．49．已知正方形的对称中心在坐标原点，顶点A、B、C、D按逆时针依次排列，若A点的坐标为（2，），则B点与D点的坐标分别为（）A ．（﹣2，），（2，﹣）B ．（﹣，2），（，﹣2）C ．（﹣，2），（2，﹣）D ．（，）（）10．以下四个命题：①用换元法解分式方程﹣+＝1时，如果设＝y ，那么可以将原方程化为关于y 的整式方程y 2+y ﹣2＝0；②如果半径为r 的圆的内接正五边形的边长为a ，那么a ＝2r cos54°；③有一个圆锥，与底面圆直径是且体积为的圆柱等高，如果这个圆锥的侧面展开图是半圆，那么它的母线长为；④二次函数y ＝ax 2﹣2ax +1，自变量的两个值x 1，x 2对应的函数值分别为y 1、y 2，若|x 1﹣1|＞|x 2﹣1|，则a （y 1﹣y 2）＞0．其中正确的命题的个数为（） A ．1个B ．2个C ．3个D ．4个二、填空题（本大题共6小题，每小题3分，共18分，本题要求把正确结果填在答题卡规定的横线上，不需要解答过程） 11．因式分解：x 2y ﹣4y 3＝．12．下面三个命题：①底边和顶角对应相等的两个等腰三角形全等；②两边及其中一边上的中线对应相等的两个三角形全等；③斜边和斜边上的中线对应相等的两个直角三角形全等，其中正确的命题的序号为．13．同时掷两枚质地均匀的骰子，则至少有一枚骰子的点数是6这个随机事件的概率为．14．关于x 的方程mx 2m ﹣1+（m ﹣1）x ﹣2＝0如果是一元一次方程，则其解为． 15．已知正方形ABCD 的面积是2，E 为正方形一边BC 在从B 到C 方向的延长线上的一点，若CE ＝，连接AE ，与正方形另外一边CD 交于点F ，连接BF 并延长，与线段DE 交于点G ，则BG 的长为．16．对任意实数a ，若多项式2b 2﹣5ab +3a 2的值总大于﹣3，则实数b 的取值范围是．三、解答题（本大题共9小题，满分72分，解答应写出文字说明、证明过程或演算步骤 17．（10分）计算（1）计算（1）÷（﹣）+×﹣（）﹣2（2）先化简，再求值：（+）÷，其中x ＝3，y ＝．18．（6分）如图，在△ABC 中，内角A 、B 、C 所对的边分别为a 、b 、c ．（1）若a＝6，b＝8，c＝12，请直接写出∠A与∠B的和与∠C的大小关系；（2）求证：△ABC的内角和等于180°；（3）若＝，求证：△ABC是直角三角形．19．（6分）用配方法求一元二次方程（2x+3）（x﹣6）＝16的实数根．20．（7分）如图，已知甲地在乙地的正东方向，因有大山阻隔，由甲地到乙地需要绕行丙地．已知丙地位于甲地北偏西30°方向，距离甲地460km，丙地位于乙地北偏东66°方向，现要打通穿山隧道，建成甲乙两地直达高速公路，如果将甲、乙、丙三地当作三个点A、B、C，可抽象成图（2）所示的三角形，求甲乙两地之间直达高速线路的长AB（结果用含非特殊角的三角函数和根式表示即可）．21．（9分）镇政府想了解对王家村进行“精准扶贫”一年来村民的经济情况，统计员小李用简单随机抽样的方法，在全村130户家庭中随机抽取20户，调查过去一年的收入（单位：万元），从而去估计全村家庭年收入情况．已知调查得到的数据如下：1.9，1.3，1.7，1.4，1.6，1.5，2.7，2.1，1.5，0.9，2.6，2.0，2.1，1.0，1.8，2.2，2.4，3.2，1.3，2.8为了便于计算，小李在原数据的每个数上都减去1.5，得到下面第二组数：0.4，﹣0.2，0.2，﹣0.1，0.1，0，1.2，0.6，0，﹣0.6，1.1，0.5，0.6，﹣0.5，0.3，0.7，0.9，1.7，﹣0.2，1.3（1）请你用小李得到的第二组数计算这20户家庭的平均年收入，并估计全村年收入及全村家庭年收人超过1.5万元的百分比；已知某家庭过去一年的收人是1.89万元，请你用调查得到的数据的中位数推测该家庭的收入情况在全村处于什么水平？（2）已知小李算得第二组数的方差是S，小王依据第二组数的方差得出原数据的方差为（1.5+S）2，你认为小王的结果正确吗？如果不正确，直接写出你认为正确的结果．22．（6分）滴滴快车是一种便捷的出行工具，计价规则如下表：小王与小张各自乘坐满滴快车，在同一地点约见，已知到达约见地点时他们的实际行车里程分别为6公里与8.5公里，两人付给滴滴快车的乘车费相同．（1）求这两辆滴滴快车的实际行车时间相差多少分钟；（2）实际乘车时间较少的人，由于出发时间比另一人早，所以提前到达约见地点在大厅等候．已知他等候另一人的时间是他自己实际乘车时间的1.5倍，且比另一人的实际乘车时间的一半多8.5分钟，计算俩人各自的实际乘车时间．23．（7分）如图，在平面直角坐标系中，矩形OCAB（OC＞OB）的对角线长为5，周长为14．若反比例函数y＝的图象经过矩形顶点A．（1）求反比例函数解析式；若点（﹣a，y1）和（a+1，y2）在反比例函数的图象上，试比较y1与y2的大小；（2）若一次函数y＝kx+b的图象过点A并与x轴交于点（﹣1，0），求出一次函数解析式，并直接写出kx+b﹣＜0成立时，对应x的取值范围．24．（9分）如图，以Rt△ABC的直角边AB为直径的⊙O交斜边AC于点D，过点D作⊙O的切线与BC交于点E，弦DM与AB垂直，垂足为H．（1）求证：E为BC的中点；（2）若⊙O的面积为12π，两个三角形△AHD和△BMH的外接圆面积之比为3，求△DEC的内切圆面积S1和四边形OBED的外接圆面积S2的比．25．（12分）已知二次函数y＝ax2﹣bx+c且a＝b，若一次函数y＝kx+4与二次函数的图象交于点A（2，0）．（1）写出一次函数的解析式，并求出二次函数与x轴交点坐标；（2）当a＞c时，求证：直线y＝kx+4与抛物线y＝ax2﹣bx+c一定还有另一个异于点A 的交点；（3）当c＜a≤c+3时，求出直线y＝kx+4与抛物线y＝ax2﹣bx+c的另一个交点B的坐标；记抛物线顶点为M，抛物线对称轴与直线y＝kx+4的交点为N，设S＝S△AMN ﹣S△BMN，写出S关于a的函数，并判断S是否有最大值？如果有，求出最大值；如果没有，请说明理由．参考答案一、选择题1．【解答】解：由题意得：四个排球质量偏差的绝对值分别为：0.6，0.7，2.5，3.5，绝对值最小的为0.6，最接近标准．故选：A．2．【解答】解：A、是轴对称图形，故本选项错误；B、不是轴对称图形，故本选项正确；C、是轴对称图形，故本选项错误；D、是轴对称图形，故本选项错误．故选：B．3．【解答】解：由一次函数y＝ax+a可知，一次函数的图象与x轴交于点（﹣1，0），排除A、B；当a＞0时，二次函数开口向上，一次函数经过一、三、四象限，当a＜0时，二次函数开口向下，一次函数经过二、三、四象限，排除C；故选：D．4．【解答】解：如图，∵四边形ABCD是菱形，∴OA＝OC＝AC＝1，OB＝OD，AC⊥BD，∴OB＝＝＝2，∴BD＝2OB＝4；故选：C．5．【解答】解：A、从2013年到2016年，该校纸质书人均阅读量逐年增长，正确；B 、2013年至2018年，该校纸质书人均阅读量的中位数是本，正确；C 、2013年至2018年，该校纸质书人均阅读量的极差是60.8﹣15.5＝45.3本，正确；D 、2013年至2018年，该校后三年纸质书人均阅读量总和是前三年纸质书人均阅读量总和的倍，错误；故选：D ．6．【解答】解：解不等式﹣1≤2﹣x 得：x ≤，∵不等式﹣1≤2﹣x 的解集中x 的每一个值，都能使关于x 的不等式3（x ﹣1）+5＞5x +2（m +x ）成立，∴x ＜，∴＞，解得：m ＜﹣，故选：C ．7．【解答】解：由三视图可知，该几何体是长方体，中间是空心圆柱体，正方体的长宽高分别为4，4，3，圆柱体直径为2，高为3，正方体表面积：4×4×2+4×3×4＝80，圆柱体表面积2×3＝6π，上下表面空心圆面积：2π，∴这个几何体的表面积是：80+6π﹣2π＝80+4π，故选：B ．8．【解答】解：∵x 1，x 2是一元二次方程x 2+x ﹣3＝0的两个实数根， ∴x 1+x 2＝﹣1，x 1•x 2＝﹣3，x 12+x 1＝3，∴x 22﹣4x 12+17＝x 12+x 22﹣5x 12+17＝（x 1+x 2）2﹣2x 1x 2﹣5x 12+17＝（﹣1）2﹣2×（﹣3）﹣5x 12+17＝24﹣5x 22＝24﹣5（﹣1﹣x 1）2＝24﹣5（x 12+x 1+1）＝24﹣5（3+1）＝4，故选：D ．9．【解答】解：如图，连接OA 、OD ，过点A 作 AF ⊥x 轴于点F ，过点D 作DE ⊥x 轴于点E ，易证△AFO ≌△OED （AAS ），∴OE ＝AF ＝，DE ＝OF ＝2，∴D （，﹣2），∵B、D关于原点对称，∴B（﹣，2），故选：B．10．【解答】解：①设＝y，那么可以将原方程化为关于y的整式方程y2+y﹣2＝0，故正确；②作OF⊥BC．∵∠OCF＝72°÷2＝36°，∴CF＝r•cos36°，∴CB＝2r cos36°，即a＝2r cos36°．故错误；③这个圆锥母线长为R，根据题意得2π•＝，解得R＝3．即它的母线长是3，．故错误；④二次函数y ＝ax 2﹣2ax +1的对称轴是x ＝2，如图：．此时|x 1﹣1|＞|x 2﹣1|，y 1＝y 2＝0，所以a （y 1﹣y 2）＝0．故错误．综上所述，正确的命题的个数为1个．故选：A ．二、填空题（本大题共6小题，每小题3分，共18分，本题要求把正确结果填在答题卡规定的横线上，不需要解答过程）11．【解答】解：原式＝y （x 2﹣4y 2）＝y （x ﹣2y ）（x +2y ）．故答案为：y （x ﹣2y ）（x +2y ）．12．【解答】解：①底边和顶角对应相等的两个等腰三角形全等；正确； ②两边及其中一边上的中线对应相等的两个三角形全等；正确； ③斜边和斜边上的中线对应相等的两个直角三角形全等；不正确；故答案为：①②．13．【解答】解：画树状图如图所示：共有36种等可能的结果数，其中至少有一枚骰子的点数是6的结果数为11，所以至少有一枚骰子的点数是6的概率＝．故答案为：．14．【解答】解：∵关于x的方程mx2m﹣1+（m﹣1）x﹣2＝0如果是一元一次方程，∴2m﹣1＝1，即m＝1或m＝0，方程为x﹣2＝0或﹣x﹣2＝0，解得：x＝2或x＝﹣2，故答案为：x＝2或x＝﹣2．15．【解答】解：如图：延长AD、BG相交于点H，∵正方形ABCD的面积是2，∴AB＝BC＝CDA＝，又∵CE＝，△EFC∽△EAB，∴，即：F是CD的中点，∵AH∥BE，∴∠H＝∠FBC，∠BCF＝∠HDF＝90°∴△BCF≌△HDF（AAS），∴DH＝BC＝，∵AH∥BE，∴∠H＝∠FBC，∠H DG＝∠BEG∴△HDG∽△BEG，∴，在Rt△ABH中，BH＝，∴BG＝，故答案为：16．【解答】解：由题意可知：2b2﹣5ab+3a2＞﹣3，∴3a2﹣5ab+2b2+3＞0，∵对任意实数a，3a2﹣5ab+2b2+3＞0恒成立，∴△＝25b2﹣12（2b2+3）＝b2﹣36＜0，∴﹣6＜b＜6；故答案为﹣6＜b＜6；三、解答题（本大题共9小题，满分72分，解答应写出文字说明、证明过程或演算步骤17．【解答】解：（1）（1）÷（﹣）+×﹣（）﹣2＝﹣×+﹣（1﹣）2＝﹣2+6﹣4+2＝2；（2）（+）÷＝÷＝•＝，当x＝3，y＝时，原式＝＝．18．【解答】解：（1）∵在△ABC中，a＝6，b＝8，c＝12，∴∠A+∠B＜∠C；（2）如图，过点A作MN∥BC，∵MN∥BC，∴∠MAB＝∠B，∠NAC＝∠C（两直线平行，同位角相等），∵∠MAB +∠BAC +∠NAC ＝180°（平角的定义），∴∠B +∠BAC +∠C ＝180°（等量代换），即：三角形三个内角的和等于180°；（3）∵＝，∴ac ＝（a +b +c ）（a ﹣b +c ）＝ [（a 2+2ac +c 2）﹣b 2]，∴2ac ＝a 2+2ac +c 2﹣b 2，∴a 2+c 2＝b 2，∴△ABC 是直角三角形．19．【解答】解：原方程化为一般形式为2x 2﹣9x ﹣34＝0，x 2﹣x ＝17，x 2﹣x +＝17+，（x ﹣）2＝，x ﹣＝±，所以x 1＝，x 2＝． 20．【解答】解：过点C 作CD ⊥AB 于点D ，∵丙地位于甲地北偏西30°方向，距离甲地460km ，．在Rt △ACD 中，∠ACD ＝30°，∴AD ＝AC ＝230km ．CD ＝AB ＝230km ．∵丙地位于乙地北偏东66°方向，在Rt △BDC 中，∠CBD ＝23°，∴BD＝＝（km）．∴AB＝BD+AD＝230+（km）．答：公路AB的长为（230+）km．21．【解答】解：（1）第二组数据的平均数为（0.4﹣0.2+0.2﹣0.1+0.1+0+1.2+0.6+0﹣0.6+1.1+0.5+0.6﹣0.5+0.3+0.7+0.9+1.7﹣0.2+1.3）＝0.4，所以这20户家庭的平均年收入＝1.5+0.4＝1.9（万），130×1.9＝247，估计全村年收入为247万；全村家庭年收人超过1.5万元的百分比为×100%＝65%；某家庭过去一年的收人是1.89万元，则该家庭的收入情况在全村处于中下游；（2）小王的结果不正确．第一组数据的方差和第二组数据的方差一样．它们的方差＝ [（0.4﹣0.4）2+（﹣0.2﹣0.4）2+（0.2﹣0.4）2+…+（1.3﹣0.4）2]＝0.34．22．【解答】解：（1）设小王的实际行车时间为x分钟，小张的实际行车时间为y分钟，由题意得：1.8×6+0.3x＝1.8×8.5+0.3y+0.8×（8.5﹣7）∴10.8+0.3x＝16.5+0.3y0.3（x﹣y）＝5.7∴x﹣y＝19∴这两辆滴滴快车的实际行车时间相差19分钟．（2）由（1）及题意得：化简得①+②得2y ＝36∴y ＝18 ③ 将③代入①得x ＝37∴小王的实际行车时间为37分钟，小张的实际行车时间为18分钟．23．【解答】解：（1）根据题意得：OB +OC ＝7，OB 2+OC 2＝52，∵OC ＞OB ，∴OB ＝3，OC ＝4，∴A （3，4），把A （3，4）代入反比例函数y ＝中，得m ＝3×4＝12，∴反比例函数为：y ＝，∵点（﹣a ，y 1）和（a +1，y 2）在反比例函数的图象上，∴﹣a ≠0，且a +1≠0，∴a ≠﹣1，且a ≠0，∴当a ＜﹣1时，﹣a ＞0，a +1＜0，则点（﹣a ，y 1）和（a +1，y 2）分别在第一象限和第三象限的反比例函数的图象上，于是有y 1＞y 2；当﹣1＜a ＜0时，﹣a ＞0，a +1＞0，若﹣a ＞a +1，即﹣1＜a ＜﹣时，y 1＜y 2，若﹣a ＝a +1，即a ＝﹣时，y 1＝y 2，若﹣a ＜a +1，即﹣＜a ＜0时，y 1＞y 2；当a ＞0时，﹣a ＜0，a +1＞0，则点（﹣a ，y 1）和（a +1，y 2）分别在第三象限和第一象限的反比例函数的图象上，于是有y 1＜y 2；综上，当a ＜﹣1时，y 1＞y 2；当﹣1＜a ＜﹣时，y 1＜y 2；当a ＝﹣时，y 1＝y 2；当﹣＜a ＜0时，y 1＞y 2；当a ＞0时，y 1＜y 2．（2）∵一次函数y ＝kx +b 的图象过点A （3，4）并与x 轴交于点（﹣1，0），∴，解得，，∴一次函数的解析式为：y＝x+1；解方程组，得，，∴一次函数y＝kx+b的图象与反比例函数y＝的图象相交于两点（﹣4，﹣3）和（3，4），当一次函数y＝kx+b的图象在反比例函数y＝的图象下方时，x＜﹣4或0＜x＜3，∴kx+b﹣＜0成立时，对应x的取值范围：x＜﹣4或0＜x＜3．24．【解答】解：（1）连接BD、OE，∵AB是直径，则∠ADB＝90°＝∠ADO+∠ODB，∵DE是切线，∴∠ODE＝90°＝∠EDB+∠BDO，∴∠EDB＝∠ADO＝∠CAB，∵∠ABC＝90°，即BC是圆的切线，∴∠DBC＝∠CAB，∴∠EDB＝∠EBD，则∠BDC＝90°，∴E为BC的中点；（2）△AHD和△BMH的外接圆面积之比为3，则两个三角形的外接圆的直径分别为AD、BM，∴AD：BM＝，而△ADH∽△MBH，∴DH：BH＝，则DH＝HM，∴HM：BH＝，∴∠BMH＝30°＝∠BAC，∴∠C ＝60°，E 是直角三角形的中线，∴DE ＝CE ，∴△DEC 为等边三角形，⊙O 的面积：12π＝（AB ）2π，则AB ＝4，∠CAB ＝30°，∴BD ＝2，BC ＝4，AC ＝8，而OE ＝AC ＝4，四边形OBED 的外接圆面积S 2＝π（2）2＝2π，等边三角形△DEC 边长为2，则其内切圆的半径为：，面积为，故△DEC 的内切圆面积S 1和四边形OBED 的外接圆面积S 2的比为：． 25．【解答】解：（1）把点A （2，0）代入y ＝kx +4得：2k +4＝0∴k ＝﹣2∴一次函数的解析式为y ＝﹣2x +4∵二次函数y ＝ax 2﹣bx +c 的图象过点A （2，0），且a ＝b∴4a ﹣2a +c ＝0解得：c ＝﹣2a∴二次函数解析式为y ＝ax 2﹣ax ﹣2a （a ≠0）当ax 2﹣ax ﹣2a ＝0，解得：x 1＝2，x 2＝﹣1∴二次函数与x 轴交点坐标为（2，0），（﹣1，0）．（2）证明：由（1）得：直线解析式为y ＝﹣2x +4，抛物线解析式为y ＝ax 2﹣ax ﹣2a整理得：ax 2+（2﹣a ）x ﹣2a ﹣4＝0∴△＝（2﹣a ）2﹣4a （﹣2a ﹣4）＝a 2﹣4a +4+8a 2+16a ＝9a 2+12a +4＝（3a +2）2 ∵a ＞c ，c ＝﹣2a∴a ＞﹣2a∴a ＞0∴3a +2＞0∴△＝（3a +2）2＞0∴关于x 的一元二次方程有两个不相等的实数根∴直线与抛物线还有另一个异于点A 的交点（3）∵c ＜a ≤c +3，c ＝﹣2a∴﹣2a ＜a ≤﹣2a +3∴0＜a ≤1，抛物线开口向上∵整理得：ax 2+（2﹣a ）x ﹣2a ﹣4＝0，且△＝（3a +2）2＞0∴x ＝∴x 1＝2（即点A 横坐标），x 2＝﹣1﹣∴y 2＝﹣2（﹣1﹣）+4＝+6∴直线y ＝kx +4与抛物线y ＝ax 2﹣bx +c 的另一个交点B 的坐标为（﹣1﹣，）∵抛物线y ＝ax 2﹣ax ﹣2a ＝a （x ﹣）2﹣a∴顶点M （，﹣a ），对称轴为直线x ＝∴抛物线对称轴与直线y ＝﹣2x +4的交点N （，3）∴如图，MN ＝3﹣（﹣a ）＝3+a∴S ＝S △AMN ﹣S △BMN ＝MN （x A ﹣）﹣MN （﹣x B ）＝（3+a ）（2﹣）﹣（3+a ）（+1+）＝（3+a ）（﹣﹣）＝3a ﹣+ ∵0＜a ≤1∴0＜3a ≤3，﹣≤﹣3∴当a ＝1时，3a ＝3，﹣＝﹣3均取得最大值∴S ＝3a ﹣+有最大值，最大值为．。

2019年内蒙古自治区呼和浩特市中考数学试题(含答案)

2019 年呼和浩特市中考试卷数学注意事项： 1．考生务必将自己的姓名、准考证号填涂在试卷和答题纸的规定位置。

2．考生要将答案写在答题纸上，在试卷上答题一律无效。

考试结束后，本试卷和答题纸一并交回。

3．本试卷满分 120 分。

考试时间 120 分钟。

一、选择题（本大题共 10 小题，每小题 3 分，共 30 分．在每小题给出的四个选项中，只有一项是符合题目要求的）1．下列实数是无理数的是A．–1C．π 2．以下问题，不适合用全面调查的是B．0 1D．3A．旅客上飞机前的安检B．学校招聘教师，对应聘人员的面试C．了解全校学生的课外读书时间D．了解一批灯泡的使用寿命3．已知线段 CD 是由线段 AB 平移得到的，点 A（–1，4）的对应点为 C（4，7），则点 B（–4，–1）的对应点 D 的坐标为A．（1，2）B．（2，9）C．（5，3）D．（–9，–4）4．右图是某几何体的三视图，根据图中数据，求得该几何体的体积为A．60πB．70πC．90πD．160π5．某商品先按批发价a 元提高 10%零售，后又按零售价降低10%出售，则最后的单价是A．a 元 C．1.21a 元B．0.99a 元 D．0.81a 元6．已知⊙O 的面积为 2π，则其内接正三角形的面积为A．3 3B．3 63 3C．23 6D．27．实数 a，b，c 在数轴上对应的点如下图所示，则下列式子中正确的是a b0cxA．ac > bcB．|a–b| = a–bC．–a <–b < cD．–a–c >–b–c8．下列运算正确的是1354· = 6A．2 2 B． (a3)2=a3( ) ( ) 1 111b＋a＋2÷ – =C． a ba2 b2b–aD．(–a)9÷a3 =(–a)69．已知矩形 ABCD 的周长为 20cm，两条对角线 AC，BD 相交于点 O，过点 O 作 AC 的垂线 EF，分别交两边 AD，BC 于 E，F（不与顶点重合），则以下关于 CDE 与 ABF 判断完全正确的一项为A． CDE 与 ABF 的周长都等于 10cm，但面积不一定相等B． CDE 与 ABF 全等，且周长都为 10cmC． CDE 与 ABF 全等，且周长都为 5cmD． CDE 与 ABF 全等，但它们的周长和面积都不能确定1 10．已知函数 y = |x|的图象在第一象限的一支曲线上有一点 A（a，c），点 B（b，c＋1）在该函数图象的另外一支上，则关于一元二次方程 ax2＋bx＋c = 0 的两根 x1，x2 判断正确的是A．x1 ＋ x2 >1，x1·x2 > 0B．x1 ＋ x2 < 0，x1·x2 > 0C．0 < x1 ＋ x2 < 1，x1·x2 > 0D．x1 ＋ x2 与 x1·x2 的符号都不确定二、填空题（本大题共 6 小题,每小题 3 分,共 18 分．本题要求把正确结果填在答题纸规定的横线上，不需要解答过程）11．一个底面直径是 80cm，母线长为 90cm 的圆锥的侧面展开图的圆心角的度数为 ________．12．某校五个绿化小组一天的植树的棵数如下：10，10，12，x，8．已知这组数据的平均数是 10，那么这组数据的方差是_________．13．等腰三角形一腰上的高与另一腰的夹角为 36 ，则该等腰三角形的底角的度数为_____________．14．把多项式 6xy2–9x2y–y3 因式分解，最后结果为_________．15．已知 m，n 是方程 x2＋2x–5 = 0 的两个实数根，则 m2–mn＋3m＋n=_________．16．以下四个命题：①每一条对角线都平分一组对角的平行四边形是菱形． m②当 m > 0 时， y =–mx＋1 与 y = x 两个函数都是 y 随着 x 的增大而减小． ③已知正方形的对称中心在坐标原点，顶点 A，B，C，D 按逆时针依次排列，若 A 点坐标为（1，3），则 D 点坐标为（1，– 3）．④在一个不透明的袋子中装有标号为 1，2，3，4 的四个完全相同的小球，从袋中随机摸取一个然后 1放回，再从袋中随机地摸取一个，则两次取到的小球标号的和等于 4 的概率为 8．其中正确的命题有_________（只需填正确命题的序号）三、解答题（本大题共 9 小题，满分 72 分．解答应写出文字说明，证明过程或演算步骤）17．（10 分）计算| |1– （1）（5 分）计算： 2cos 30°＋( 3–2)–1 ＋ 231（2）（5 分）解方程： x2＋2x–x2–2x= 018．（6 分）如图，一艘海轮位于灯塔 P 的北偏东 65 方向，距离灯塔 80 海里的 A 处，它沿正南方向航行一段时间后，到达位于灯塔P 的南偏东 45 方向上的 B 处，这时，海轮所在的B 处距离灯塔 P 有多远？（结果用非特殊角的三角函数及根式表示即可）19．（5 分）已知实数 a 是不等于 3 的常数，解不等式组{ ) –2x＋3 ≥ –311(x–2a)＋ x < 022，并依据 a 的取值情况写出其解集．20．（9 分）学校为了了解初三年级学生体育跳绳的训练情况，从初三年级各班随机抽取了 50 名学生进行了 60 秒跳绳的测试，并将这 50 名学生的测试成绩（即 60 秒跳绳的个数）从低到高分成六段记为第一到六组，最后整理成下面的频数分布直方图：请根据直方图中样本数据提供的信息解答下列问题．（1）跳绳次数的中位数落在哪一组？由样本数据的中位数你能推断出学校初三年级学生关于60 秒跳绳成绩的一个什么结论？（2）若用各组数据的组中值（各小组的两个端点的数的平均数）代表各组的实际数据，求这 50 名学生的 60 秒跳绳的平均成绩（结果保留整数）；（3）若从成绩落在第一和第六组的学生中随机抽取 2 名学生，用列举法求抽取的 2 名学生恰好在同一组的概率．21．（7 分）如图，四边形 ABCD 是矩形，把矩形沿 AC 折叠，点 B 落在点 E 处，AE 与 DC 的交点为 O, 连接 DE．（1）求证：∆ADE≌∆CED; （2）求证： DE∥AC．22．（7 分）为鼓励居民节约用电，我市自 2012 年以来对家庭用电收费实行阶梯电价，即每月对每户居民的用电量分为三个档级收费，第一档为用电量在 180 千瓦时（含 180 千瓦时）以内的部分，执行基本价格；第二档为用电量在 180 千瓦时到 450 千瓦时（含 450 千瓦时）的部分，实行提高电价；第三档为用电量超出 450 千瓦时的部分，执行市场调节价格．我市一位同学家今年 2 月份用电 330 千瓦时，电费为 213 元，3 月份用电 240 千瓦时，电费为 150 元．已知我市的一位居民今年 4、5 月份的家庭用电量分别为 160 和 410 千瓦时，请你依据该同学家的缴费情况，计算这位居民 4、5 月份的电费分别为多少元?k 23．（8 分）如图，已知反比例函数 y = x（x > 0，k 是常数）的图象经过点 A（1,4），点 B（m , n），其中m＞1， AM⊥x 轴，垂足为 M，BN⊥y 轴，垂足为 N，AM 与 BN 的交点为 C．（1）写出反比例函数解析式；（2）求证：∆ACB∽∆NOM；（3）若∆ACB 与∆NOM 的相似比为 2，求出 B 点的坐标及 AB 所在直线的解析式．24．（8 分）如图，AB 是⊙O 的直径，点 C 在⊙O 上，过点 C 作⊙O 的切线 CM．（1）求证：∠ACM=∠ABC；（2）延长 BC 到 D，使 BC = CD，连接 AD 与 CM 交于点 E，若⊙O 的半径为 3，ED = 2, 求∆ACE 的外接圆的半径．1 25．（12 分）如图，已知直线 l 的解析式为 y = 2x–1，抛物线 y = ax2＋bx＋2 经过点 A（m，0），( )51， B（2，0），D 4 三点．（1）求抛物线的解析式及 A 点的坐标，并在图示坐标系中画出抛物线的大致图象；（2）已知点 P（x，y）为抛物线在第二象限部分上的一个动点，过点 P 作 PE 垂直 x 轴于点 E, 延长PE 与直线 l 交于点 F，请你将四边形 PAFB 的面积 S 表示为点 P 的横坐标 x 的函数，并求出 S 的最大值及 S 最大时点 P 的坐标；（3）将（2）中 S 最大时的点 P 与点 B 相连，求证：直线 l 上的任意一点关于 x 轴的对称点一定在 PB 所在直线上．2019 年呼和浩特市中考试卷数学参考答案及评分标准一、选择题1．C2．D6．C7．D二、填空题11．160°14．–y(3x–y)2三、计算题3．A 8．C4．B 9．B5．B 10．C12．1.6 15．813．63°或 27° 16．①311 17．（1）解：原式=2 × 2 ＋ 3–2＋ 2∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙3 分1 = 3–( 3＋2) ＋ 2∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙4 分3 = –2∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙5 分（2）解：去分母得3x2–6x–x2–2x = 0∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙1 分2x2 –8x = 0 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙2 分∴ x = 0 或 x = 4 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙3 分经检验：x = 0 是增根∴ x = 4 是原方程的解 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙5 分 18．解：过点 P 作 PD⊥AB 于 D∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙1 分由题意知∠DPB = 45° PD在 RtΔPBD 中，sin 45° = PB ∴ PB= 2PD∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙2 分 ∵ 点 A 在 P 的北偏东 65°方向上∴ ∠APD = 25°在 RtΔPAD 中 PDcos 25° = PA ∴ PD = PA cos 25° = 80 cos 25° ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙5 分∴ PB = 80 2cos 25° ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙6 分{ ) –2x＋3 ≥ –3…………………①11(x–2a)＋ x < 0……………②19．解： 22解①得：x≤3∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙1 分解②得：x < a∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙2 分∵ a 是不等于 3 的常数∴ 当 a > 3 时，不等式组的解集为 x≤3∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙4 分当 a < 3 时，不等式组的解集为 x < a∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙5 分20．解：（1）中位数落在第四组∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙1 分由此可以估计初三学生 60 秒跳绳在 120 个以上的人数达到一半以上∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙3 分2 × 70＋10 × 90＋12 × 110＋13 × 130＋10 × 150＋3 × 170（2）x=50≈121 6 分（3）记第一组的两名学生为 A、B，第六组的三名学生为 1、2、3 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙7 分则从这 5 名学生中抽取两名学生有以下 10 种情况：AB，A1，A2，A3，B1，B2，B3，12，13，23 42∴ P = 10= 5∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙9 分 21．证明：（1）∵ 四边形 ABCD 是矩形∴ AD=BC AB=CD又∵ AC 是折痕∴ BC = CE = AD ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙1 分AB = AE = CD ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙2 分又 DE = ED ∴ ΔADE ≌ΔCED ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙3 分（2）∵ ΔADE ≌ΔCED ∴ ∠EDC =∠DEA 又 ΔACE 与 ΔACB 关于 AC 所在直线对称∴ ∠OAC =∠CAB 而∠OCA =∠CAB ∴ ∠OAC =∠OCA ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙5 分 ∴ 2∠OAC = 2∠DEA∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙6 分∴ ∠OAC =∠DEA∴ DE∥AC∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙7 分22．解：设基本电价为 x 元/千瓦时，提高电价为 y 元/千瓦时 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙1 分由题意得：{ ) 180x＋150y = 213180x＋60y = 150 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙3 分{ ) x = 0.6解之得： y = 0.7 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙4 分∴ 4 月份的电费为：160×0.6=96 元5 月份的电费为：180×0.6＋230×0.7 = 108＋161 = 269 元答：这位居民 4、5 月份的电费分别为 96 元和 269 元．∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙7 分 k23．解：（1）∵ y = x过（1，4）点 4∴ k = 4，反比例函数解析式为 y = x ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙1 分（2）∵ B（m，n） A（1，4）∴ AC = 4–n，BC = m–1，ON = n，OM = 1 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙2 分 AC 4–n 4∴ ON= n = n–1 4而 B（m，n）在 y = x上 4∴ n= m AC∴ ON= m–1 BC m–1而 OM= 1 AC BC∴ ON= OM ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙4 分又∵ ∠ACB =∠NOM = 90°∴ ΔACB∽ΔNOM ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙5 分（3）∵ ΔACB 与 ΔNOM 的相似比为 2∴ m–1 = 2∴ m=3 4∴ B 点坐标为（3，3） ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙6 分设 AB 所在直线的解析式为 y = kx＋b{ ) 4 = 3k＋b 3 ∴ 4 = k＋b4 16 ∴ k = –3 b = 34 16 ∴ 解析式为 y = –3x＋ 3 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙8 分 24．证明：（1）连接 OC ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙1 分 ∵ AB 为⊙O 的直径 ∴ ∠ACB = 90° ∴ ∠ABC ＋∠BAC = 90° 又∵ CM 是⊙O 的切线 ∴ OC⊥CM ∴ ∠ACM ＋∠ACO = 90° ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙2 分 ∵ CO = AO ∴ ∠BAC =∠ACO ∴ ∠ACM =∠ABC ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙3 分（2）∵ BC = CD ∴ OC∥AD 又∵ OC⊥CE ∴ AD⊥CE ∴ ΔAEC 是直角三角形 ∴ ΔAEC 的外接圆的直径为 AC ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙4 分又∵ ∠ABC ＋∠BAC = 90° ∠ACM ＋∠ECD = 90° 而∠ABC =∠ACM ∴ ∠BAC =∠ECD 又∠CED =∠ACB = 90° ∴ ΔABC∽ΔCDEAB BC ∴ CD= ED 而⊙O 的半径为 3∴ AB = 6 6 BC∴ CD= 2∴ BC 2 = 12∴ BC = 2∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙6分3在Rt ΔABC 中∴ AC = = 2∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙7分36–126∴ ΔAEC 的外接圆的半径为∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙8分625．解：（1）∵ y = ax 2＋bx ＋2经过点B 、D∴{4a ＋2b ＋2 = 0a ＋b ＋2 = 54)解之得：a =–，b =–1412∴ y =–x 2 – x ＋2∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙2分1412∵ A （m ，0）在抛物线上∴ 0 =– m 2 – m ＋21412解得：m =–4∴ A （–4，0）∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙3分图像（略）∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙4分（2）由题设知直线l 的解析式为y = x –112∴ S = AB ·PF12 = ×6·PF12 = 3（– x 2 – x ＋2＋1– x ）∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙5分141212 = – x 2 –3x ＋934 = –（x ＋2）2 ＋12∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙6分34其中–4 < x < 0∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙7分∴ S 最大= 12，此时点P 的坐标为（–2，2）∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙9分（3）∵ 直线PB 过点P （–2，2）和点B （2，0）∴ PB 所在直线的解析式为y =– x ＋1∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙10分12设Q （a ， a –1）是y = x –1上的任一点1212则Q 点关于x 轴的对称点为（a ，1– a ）12将（a ，1– a ）代入y =– x ＋1显然成立∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙11分1212∴ 直线l 上任意一点关于x 轴的对称点一定在PB 所在的直线上∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙12分注：本卷中各题如有不同解法，可依据情况酌情给分。

2019年呼和浩特市英语中考试题及答案

2019年呼和浩特市英语中考试题及答案2019年呼和浩特市中考试卷英语第Ⅰ卷(选择题，共计85分)I.单项选择：(共15小题；每小题1分，满分15分)1. Weusually go swimming in _____summer. But in ______summer of 2018, we didn’t.A. / ; /B. a; aC. /; theD. a ; /2.—May I help you with some jeans, sir?—Yes, I’d like to try on those blue _______.B. one A. pairC. twoD. ones3.—Jack, let’s have a picnic after school.—Sorry. I have ______Frank to work on the biology report with him.A. AdviseB. expectedC. suggestedD. promised4. _______me an email before you come to Hohhot, and I’llmeet you at the train XXX.A. SendB. SendingC. To sendD.Sent5.—Did you call Michael back?—Id idn’t need to,________I’ll see him tomorrow.A. UnlessB. becauseC. whenD.though6. Sitting down after a walk is relaxing. But would you like tosit on a seat_____tell you your weight?A. / B. whoC. whomD. that7. Guan Dong saved an old lady out of the Yangtze River.________great courage he showed!A. What aB. WhatC. How aD.How8. Ben was XXX ________the windows.A. againstB. acrossC. aboveD. below9. I really need to take more exercise because I’m_______weight.A. putting downB. putting onC. putting offD. putting away10.—Will you do any cleaning in the park this Sunday?—_______! I do so every Sunday.A. Nice workB. No shoutingC. You betD. In with a chance11.—He is planning to walk on the wings of the a flying plane.—What? I have never heard of ______idea before.A. A crazierB. the crazierC. a creaziestD. the creaziest12. XXX _______for six years, but I ______there so far.A. has opened; haven’t goneB. has been opened ; haven’t beenC. has been open ; haven’t goneD. has been opened; haven’t been13. It is wise ______Linda to make up her mind _______toplay an instrument.A. for ; learningB. for ; to learnC. of ; learningD. of ; to learn14. Frederick _______XXX hobby has brought him_______.A. successful ; success B. successful ; successfullyC. successfully ; successD. successfully ; successful15. She was so angry at ______he was doing ______shewalked out without a word.A. what; thatB. that ; whatC. what ; whatD. that ; thatII.完型填空：(共20小题；每小题1分，满分20分)A“The grass XXX on the other side of the fence.” That’s anold16 in English. It means other placesoften look better, more interesting than the place in 17 you live.Some peopleworry18young XXX that way. They see young Chinese paying no attention to Chinese culture and,19 ,buying Japanesecartoon books, watching XXX.Foreign books and soap operas are good, 20 Chinesewriters and actors are just as good. As for holidays,Christmas isnice, but it can 21 have the meaning for Chinese that Spring Festival has, and the West has nothing tocompare with Mid-autumn Festival. And let's not forget the part of Chinese culture Ilike best: 22 XXX are as 23 as China.It'XXX and to 24 from them, but they cannot replaceyour own culture. It's good tolook on the other side of the fence,but 25 you take a good long look. You will find that the grassisn't alwaysgreener on the other side of the fence.16.A. word B. saying C. sentenceD. rule17.A. that B. when C. whereD. which18.A. that B. if C. whyD. whether19.A. however B. besides C. insteadD. then20.A. and B. so C. butD. or21.A. still B. never C. alwaysD. ever22.A. they B. their C. itD. its23.A. warm B. warmer C. co1dD. colder24.A. learns B. learning C. in learningD. to learn25.A. make up B. make up of C. make sureD. be sure toBA restaurant had one falled upon hard times. Only five 26were left: the manager and four others, all over 60 yearsold.In the town near the XXX who was good at managing business, XXX for a long period of time, but when he was askedfor advice, the businessman28for a while andthen said,“I have noadvice to give. The only thing I can tell you is that the saver (救星)is one of you.”The manager, returning to the restaurant29, told the otherpeople what the businessman had said. In the monthsthat 30 ,the old XXX of the words of the business man,“The saver is one ofus?”They asked XXX possibility, they all began to treat each otherwith31respect(恭敬).XXX might be the saver, they also began toXXX.As time went by, people coming to the restaurant32 thatsome XXXXXX friends, XXX. Two 34 later, the smallrestaurant had once againbecome a big food company, thanks tothe businessman’s35. They understood that it was they XXX XXX.26. A. cooks B. waiters C.members D. cuntomers27. A. hoped B. began C.allowed D. decided28.A. stopped B. refused C.rested D. laughed29.A. angrily B. hopefully C.lively D. nervously30. A. following B. followed C.going D. gone31. A. strange B. similarC.strongD. special32. A. received B. advised C.felt D. wished33. A. what B. how C.why D. when34. A. years B. days C. hours D. minutes35. A. advice B. words C. methods D.successIII.浏览了解:(共25小题；每题2分，总分值50分)ADo you want a job in the holiday? Just go for it. First, you need to know what kind of job is XXX.If you’re 13 to 15.It XXX, but you’XXX.There XXX(人为) for children under 16.By law, you can’t work more than 35 hours each week during school holidays.And you can’t work before 7 a.m. or after 7p.m.If y’re 16 or 17.The lowest wage for 16-17 years old teenagers should be no less than 7 dollars per hour.You can’t work in a pub or bar, but you can work in many other places.By law, you can' t work more than 40 hours each week.What jobs are out there?Obviously your choices are limited (限制) by the fact that youcan only work during school holidays, but the XXX.At Christmas, most shops are shart of hands, so you may find something to do there. In antumn, there’s always fruitpicking. Itcan be pretty hard work, but it pays really well.If you’re mad about football, you can choose to work in asports shop or help out at a localXXX club. No matter how much you are paid, you are doingwhat you like.36. In the school holidays, 14-year-old kids__________________.A. can work anywhere they wantB. arenot allowed to work aloneC. can’t go to work at nightD. can work as long as 14 hours aday37. How much can a 16-year-old kid be paid at least in two hours?A. 21 dollars.B. 17 dollars.C. 14 dollars.D. 7 dollars.38. If you want to clean cars for others, you should at least be_____________.A. 16B. 15C. 14D. 1339. According to the passage, XXX true?A. not right for childrenB. tiring but payswellC. better than other jobsD. more interestingto girls40. According to the passage, XXX true?A. If you are 17 yearsold, you’re not allowed to walk the dogfor your neighbour.B. Teenagers can choose their jobs according to their interest.XXX well because there are fewer people to pick it.D. XXX.BA new study finds that more than eighty percent of Internetusers in the United States search of health XXX.Susannah Fox from the Pew Internet Project says doctors arestill the main source of health information. But the XXX online isone of the leading ways that people look for a second opinion. He says, “People are sort offact-checking what they have XXX show that people are still very likely to turn to a XXX (诊断) or XXX.”Forty-four percent of people are XXX online. Two-thirds of Internet users look online for information about a XXX.The Internet has also XXX support for people with health XXX one in five Internet users has gone online to find other people who have the same condition.A disease is considered uncommon if it affects(侵袭) fewer than 200,000 people worldwide. The rise of socialnetworking has made it easier for people with uncommon diseases to connect with each other and feel less alone. XXX.Dr. Jeff Livingston operates a medical center for women in Irving, Texas. His office uses password-XXX to share information with patients. He says the software has increased efficiency(效力)，XXX with patients. It has just changed the way we do health care. His medical centre also has a Facebookpage, a MySPace page anda Twitter feed.41. _______is one of the most popular ways people look for health informatioin.A. Asking their ParentsB. The Pew Internet ProjectC. Searching onlineD. Reading books on medicine42. What makes people search for health information online?A. Peoples interests in health.B. People’s health condition.C. Inportance of the Internet.D. The rise of online treatment.43. From the fourth paragraph we know that __________.A. people with health problems go online to look for the new treatmentB. people with health problems try to share their experience with others onlineC. people with health problems XXX diseasesD. XXX a place for people with health problems to reduce worries44. According to Paragraph 5, social newworking _______________.A. XXXB. encourgae people to get more help from doctors online in timeC. helps people to get more confidence about the treatment of their diseasesD. makes people easier to know more about what their diseases are45. What can we infer(揣度) from the last paragraph?A. Interent is an easy way for doctors to treat their patients.B. Doctors should change their ways to treat their patients.C. Facebook, XXX.D. Most patients would like to ask their doctors for help online now.COne day a young man was standing in a crowded place, shouting that he had the most beautiful heart in the world.Most of the people who saw his heart were amazed at the beauty of his heart.It had no little flaw (瑕疵).Suddenly, an old man appeared and said, “Oh, my son, your heart is not as beautiful as XXX.”The old man showed his heart to the young man. It was beating strongly, but full ofscars. It had places XXX put in. But they didn’t fit quite right, and there were gaps and rough(崎岖不平的) XXX.The young man laughe d, “My dear oldman,▲Comparing your heart with mine, mine is perfect and yours is full ofscars.”The old man said, “Dear boy, my heart is just as beautiful as your heart. You see, each scar shows where I have XXX people give me a piece of their heart back, and it fills the space as best it can. Other times, I give mylove and get nothing in return. Those are the empty spaces. They hurt, but they show me that I can love and love again. ”The young man stood still. His eyes were filled with tears. He walked up to the old man, tore a piece of his heart andgave the piece to the old man.The old man placed it in his heart, and then took a piece from his old scarred heart and placed it in the wound in theyoung man’s heart.The young man looked at his heart, not perfect anymore but more beautiful than ever.38. The underlined word “scars” means “” in Chinese.A.疤痕B.隔阂C.斑点D.补丁39. Which of the following can be put in▲?A. I quite agree with you!B. it’s against the rules!C. are you joking?D. what can I do for you?40. How did the young man feel after he heard whatold man’s said?A. Surprised.B. Touched.C. Nervous.D. Proud.41. What does the story want to tell us?A. We should be proud of who we are.B. XXX’t think too much of ourselves.XXX difficult if we put our heart into it.D. Give our love, though we sometimes get nothing in return.42. What’s the BEST title for the passage?A. A Broken HeartB. The Most Beautiful HeartC. A Wise Old ManD. What is True Love?DA warm drink of milk before bed has long been the best choice for those wanting a good night’s sleep.But now astudy hasfound it really does help people nod off—if it is milked from a cow at night.XXX“night milk”has XXX(褪黑激素), which has been XXX.In the study, mice were fed with XXX cows milked both during the day and at night byresearchers XXX, XXX.Those given night milk, which had 10 times the amount of melatonin, were less active and less worried than those XXX daytime, according to the study published XXX.Night milk quickened the start of sleep and caused the mice to sleep longer.While the effect of milk harvested at different time has not been tested on humans up to now, taking XXX to those who are trying to fall asleep at night.XXX sleep because there is calcium(钙) in it, XXX.Milk is also sugar-free because it is the least fattening. The more fat you take in before bedtime, the greater burdenyou will have on your body at night.按照上文内容判别正(T)误(F)51. According to the passage, XXX.52. The study has been tested on mice for ten times.53. People with XXX.54. Milk is good for sleep because there is XXX calcium in it.55. XXX XXX.E日常对话A; Hello, Bob! How is it going?B: Hello, Kate! 56 And you?A: Very well. What’s your plan for the summer?B: I had a Chinese course last year, and I’d like to go on with it this summer.A: How was the course? 57B: Yes. It seemed that way at first. But after a while it became easier.A: You were the best in the class, right?B: I did get an A. Well, could you tell me your summer plan?58A: No, not this summer. 59B: XXX. Can I go with you?A: 60 Oh, here comes the bus! Goodbye!B: XXX!A. But I plan to go to Africa next summer.B. XXX interesting?C. Where do you come from?D. Is Chinese very difficult?E. I’m OK.XXX.G. No problem.第Ⅱ卷(非选择题，共计35分)IV.用所给词或短语的适当形式填空:(共10小题;每小题1分,满分10分) 61—70小题someone wait for decide even though week as well as high mention Germany try one’s best61.—Could I ask if you _______________ this to her till now?—Yes, but she refused to listen.62. ___________the usual activities, such as sailing and climbing, there was a writing class in the summer camp.63. On a beach, run away from the sea and move quickly to ____________ground when an XXX. In order to catch the early bus, we had to stop ____________them.65. As is known to all, __________________who breaks the rules should be punished.66. He asked for two __________leave to look after his sick father.67. During the World WarⅡ，millions of _________XXX.68.—Which sport are you in at the school sports meeting?—No decision yet. I think it _______XXX.69. The students in Miss Wang’sclass are all _______to study hard to go to the university.70. She won’t leave the TVset, _________her supper is on the table.V.阅读理解填词: (共10个空；每空1分，满分10分) 71—80空Smartphones and e-readers have XXX years. Some people think that the days of XXX a 71 readers.Research company Nielsen found that in the UK, sales of e-books are f 72 while sales of XXX surprisingly, it’s young people who are buying the most physical XXX, Slovakia(斯洛伐克) and Japan also showed that 92 percent of t 73 preferred papere books.So what is b 74 paper book comeback(回归)?XXX given was: “ I like to hold the product.” It’s true that XXX. Other students said that they could get a s 75of accomplishment (成就) when they XXX.Paper books can also be very personal objects to lovers of reading. Many people like to sign their name on the i 76cover. If the cover gets bent(曲折) or there is a stain (污点) made on the page from coffee, all the better. The a 77 makethe book even more personal. It’s as if readers of XXX.This “friendship” people d78with books XXX(情感的). Research has XXX t 79 e-books. People also more e 80 end up with headachesor sore eyes while reading e-books.So why not pick up a book and start reading?71. a 72. f 73. t 74. b 75.s76. i 77. a 78. d 79. t 80. eVI.低级写作：(总分值15分)邻近卒业，黉舍在进修小组内展开了初中阶段自评和组评举动，假定你是Rainbow小组的组长zhangHong,请你为你的组员Li Ming举行综合素养的评判，写一份素养敷陈。

2019年内蒙古呼和浩特中考英语试卷(含答案与解析)

绝密★启用前2019年内蒙古呼和浩特市初中毕业生考试英语本试卷满分120分，考试时间120分钟。

第Ⅰ卷（选择题共85分）I .单项选择：(共15小题；每小题1分，满分15分)1. We usually go swimming in _____ summer. But in _____ summer of 2018, we didn’t. A. / ; /B. a; aC. /; theD. a ; /2. —May I help you with some jeans, sir? —Yes, I’d like to try on those blue _______. A. oneB. pairC. twoD. ones3. —Jack, let’s have a picnic after school.—Sorry. I have _____ Frank to work on the biology report with him. A. Advise B. expected C. suggested D. promised 4. _____ me an email before you come to Hohhot, and I’ll meet you at the train station. A. SendB. SendingC. To sendD. Sent5. — Did you call Michael back?—I didn’t need to, _____ I’ll see him tomorrow. A. Unless B. because C. when D. though6. Sitting down after a walk is relaxing. But would you like to sit on a seat _____ tell you yourweight? A. /B. whoC. whomD. that 7. Guan Dong saved an old lady out of the Yangtze River. _____ great courage he showed! A. What a B. What C. How a D. How 8. Ben was helping his mother when the rain began to beat heavily _____ the windows. A. againstB. acrossC. aboveD. below 9. I really need to take more exercise becaus e I’m _____ weight. A. putting downB. putting onC. putting offD. putting away10. —Will you do any cleaning in the park this Sunday? —_____! I do so every Sunday. A. Nice workB. No shoutingC. You betD. In with a chance11. —He is planning to walk on the wings of a flying plane. —What? I have never heard of _____ idea before.A. A crazierB. the crazierC. a creaziestD. the creaziest12. The shop in Wanda Square _____ for six years, but I _____ there so far. A. has opened; ha ven’t gone B. has been opened ; haven’t been C. has been open ; haven’t gone D. has been opened; haven’t been 13. It is wise _____ Linda to make up her mind _____ to play an instrument.A. for; learningB. for; to learnC. of; learningD. of; to learn14. Frederick _____ entered the final competition last month. His hobby has brought him_____.A. successful; successB. successful; successfullyC. successfully; successD. successfully; successful 15. She was so angry at _____ he was doing _____ she walked out without a word.A. what; thatB. that; whatC. what; whatD. that; thatⅡ.完型填空：(共20小题；每小题1分，满分20分)A“The grass looks greener on the other side of the fence.” That’s an old ___16___ inEnglish. It means other places often look better, more interesting than the place in ___17___ you live. Some people worry ___18___ young Chinese are beginning to feel that way. They see young Chinese paying no attention to Chinese culture and, ___19___, buying Japanese cartoon books, watching Korean soap operas and even celebrating western holidays.Foreign books and soap operas are good, ___20___ Chinese writers and actors are just as good. As for holidays, Christmas is nice, but it can ___21___ have the meaning for Chinese that Spring Festival has, and the West has nothing to compare with Mid-autumn Festival. And let's not forget the part of Chinese culture I like best: ___22___ friendliness. Not all countries are as ___23___ as China.It's good to enjoy other cultures and to ___24___ from them, but they cannot replace your own culture. It's good to look on the other side of the fence, but ___25___ you take a good long look. You will find that the grass isn't always greener on the other side of the fence. 16. A. word B. saying C. sentence D. rule 17. A. that B. when C. where D. which 18. A. that B. if C. why D. whether 19. A. howeverB. besidesC. insteadD. then 20. A. and B. soC. butD. or 21. A. still B. never C. alwaysD. ever 22. A. theyB. theirC. itD. its-------------在--------------------此--------------------卷--------------------上--------------------答--------------------题--------------------无--------------------效----------------毕业学校_____________ 姓名________________ 考生号________________ ________________ ___________23. A. warm B. warmer C. co1d D. colder24. A. learns B. learning C. in learning D. to learn25. A. make up B. make up of C. make sure D. be sure toBA restaurant had one fallen upon hard times. Only five ___26___ were left: the manager and four others, all over 60 years old.In the town near the restaurant there lived a successful businessman who was good at managing business, so the manager ___27___ to ask the businessman if he could offer any advice that might save the restaurant. The manager and the businessman talked for a long period of time, but when he was asked for advice, the businessman ___28___ for a while and then said, “I have no advice to give. The only thing I can tell you is that the saver (救星) is one of you.”The manager, returning to the restaurant ___29___, told the other people what the businessman had said. In the months that ___30___, the old restaurant workers thought carefully of the words of the businessman, “The saver is one of us?”They asked themselves. As they thought about this possibility, they all began to treat each other with ___31___ respect(尊重). And thinking that each of themselves might be the saver, they also began to treat themselves with more care.As time went by, people coming to the restaurant ___32___ that some respect and warm kindness were around the five old members of the small restaurant. Hardly knowing ___33___, more people began to come back to the restaurant. They began to bring their friends, and theirs brought more friends. Two ___34___ later, the small restaurant had once again become a big food company, thanks to the businessman’s ___35___. They understood that it was they themselves that were the savers.26. A. cooks B. waiters C. members D. customers27. A. hoped B. began C. allowed D. decided28. A. stopped B. refused C. rested D. laughed29. A. angrily B. hopefully C. lively D. nervously30. A. following B. followed C. going D. gone31. A. strange B. similar C. strong D. special32. A. received B. advised C. felt D. wished33. A. what B. how C. why D. when34. A. years B. days C. hours D. minutes35. A. advice B. words C. methods D. successIII.阅读理解：(共25小题；每小题2分，满分50分)ADo you want a job in the holiday? Just go for it. First, you need to know what kind of job is suitable for your age and interest.If you’re 13 to 15.It seems that you can’t work almost anywhere, but you’re probably allowed to clean your neighbours’ cars or walk their dogs.There is no lowest wage（工资）for children under 16.By law, you can’t work more than 35 hours each week during school holidays. And you can’t work before 7 a.m. or after 7 p.m.If you’re 16 or 17.The lowest wage for 16-17 years old teenagers should be no less than 7 dollars per hour.You can’t work in a pub or bar, but you can work in many other places.By law, you can't work more than 40 hours each week.What jobs are out there?Obviously your choices are limited（限制）by the fact that you can only work during school holidays, but the following situations are fine.At Christmas, most shops are short of hands, so you may find something to do there. In autumn, there’s always fruit picking. It can be pretty hard work, but it pays really well.If you’re mad about football, you can choose to work in a sports shop or help out at a local football club. No matter how much you are paid, you are doing what you like.36. In the school holidays, 14-year-old kids _____.A. can work anywhere they wantB. are not allowed to work aloneC. can’t go to work at nightD. can work as long as 14 hours a day37. How much can a 16-year-old kid be paid at least in two hours?A. 21 dollars.B. 17 dollars.C. 14 dollars.D. 7 dollars.38. If you want to clean cars for others, you should at least be _____.A. 16B. 15C. 14D. 1339. According to the passage, which statement is true?A. not right for childrenB. tiring but pays wellC. better than other jobsD. more interesting to girls40. According to the passage, which statement is true?A. If you are 17 years old, you’re not allowed to wal k the dog for your neighbour.B. Teenagers can choose their jobs according to their interest.C. Fruit picking pays well because there are fewer people to pick it.D. Only football fan is allowed to work in a football club.BA new study finds that more than eighty percent of Internet users in the United States search of health information online.Susannah Fox from the Pew Internet Project says doctors are still the main source of health information. But the study found that searching online is one of the leading ways that people look for a second opinion. He says, “People are sort of fact -checking what they have heard from a doctor. Our studies show that people are still very likely to turn to a health doctor when they need a diagnosis （诊断）or are planning a treatment.”Forty-four percent of people are actually looking for doctors or other providers when they search for health information online. Two-thirds of Internet users look online for information about a certain disease or medical condition.The Internet has also become an important source of spiritual support for people with health problems. Susannah Fox says one in five Internet users has gone online to find other people who have the same condition.A disease is considered uncommon if it affects （侵袭）fewer than 200,000 people worldwide. The rise of social networking has made it easier for people with uncommon diseases to connect with each other and feel less alone. Social networking is also changing the way some doctors and patients communicate with each other.Dr. Jeff Livingston operates a medical center for women in Irving, Texas. His office uses password-protected software to share information with patients. He says the software has increased efficiency （效率）, reduced costs and improved relations with patients. It has just changed the way we do health care. His medical centre also has a Facebook page, a MySpace page and a Twitter feed.41. _____ is one of the most popular ways people look for health information. A. Asking their Parents B. The Pew Internet Project C. Searching onlineD. Reading books on medicine 42. What makes people search for health information online? A. Peoples interests in health. B. People’s health condition. C. Importance of the Internet.D. The rise of online treatment.43. From the fourth paragraph we know that _____.A. people with health problems go online to look for the new treatmentB. people with health problems try to share their experience with others onlineC. people with health problems encourage each other online to fight against diseasesD. Internet becomes a place for people with health problems to reduce worries 44. According to Paragraph 5, social networking _____.A. becomes a new way for doctors and patients to communicate with each otherB. encourages people to get more help from doctors online in timeC. helps people to get more confidence about the treatment of their diseasesD. makes people easier to know more about what their diseases are 45. What can we infer （推断）from the last paragraph? A. Internet is an easy way for doctors to treat their patients. B. Doctors should change their ways to treat their patients.C. Facebook, MySpace and Twitter become efficient tools for doctors.D. Most patients would like to ask their doctors for help online now.COne day a young man was standing in a crowded place, shouting that he had the most beautiful heart in the world. Most of the people who saw his heart were amazed at the beauty of his heart. It had no little flaw （瑕疵）.Sudd enly, an old man appeared and said, “Oh, my son, your hear t is not as beautiful as mine.”The old man showed his heart to the young man. It was beating strongly, but full of scars. It had places where pieces had been removed and other pieces put in. But they didn ’t fit quite right, and there were gaps and rough （崎岖不平的）edges. Some places have never been filled in.The young man laughed, “My dear old man, __▲__ Comparing your heart with mine, mine is perfect and yours is full of scars.”The old man said, “De ar boy, my heart is just as beautiful as your heart. You see, each scar shows where I have given my love. Sometimes people give me a piece of their heart back, and it fills the space as best it can. Other times, I give my love and get nothing in return. Those are the empty spaces. They hurt, but they show me that I can love and love again.”The young man stood still. His eyes were filled with tears. He walked up to the old man, tore a piece of his heart and gave the piece to the old man.The old man placed it in his heart, and then took a piece from his old scarred heart and placed it in the wound in the young man’s heart.The young man looked at his heart, not perfect anymore but more beautiful than ever. 46. The underlined word “scars” means “_____” in Chi nese. A. 疤痕B. 隔阂C. 斑点D. 补丁47. Which of the following can be put in __▲__?-------------在--------------------此--------------------卷--------------------上--------------------答--------------------题--------------------无--------------------效----------------毕业学校_____________ 姓名________________ 考生号________________________________ ___________A. I quite agree with you!B. it’s against the rules!C. are you joking?D. what can I do for you?48. How did the young man feel after he heard what old man’s said?A. Surprised.B. Touched.C. Nervous.D. Proud.49. What does the story want to tell us?A. We should be proud of who we are.B. We shouldn’t think too m uch of ourselves.C. Nothing is difficult if we put our heart into it.D. Give our love, though we sometimes get nothing in return.50. What’s the BEST title for the passage?A. A Broken HeartB. The Most Beautiful HeartC. A Wise Old ManD. What is True Love?DA warm drink of milk before bed has long been the best choice for those wanting a good night’s sleep. But now a study has found it really does help people nod off—if it is milked from a cow at night.Researchers have discovered that “night milk”has more melatonin（褪黑激素）,which has been proven to help people feel sleepy and less worried.In the study, mice were fed with dried milk powder made from cows milked both during the day and at night by researchers from Seoul, South Korea.Those given night milk, which had 10 times the amount of melatonin, were less active and less worried than those fed with the milk collected during daytime, according to the study published in The Journal of Medicinal Food.Night milk quickened the start of sleep and caused the mice to sleep longer.While the effect of milk harvested at different time has not been tested on humans up to now, taking melatonin medicine has been suggested to those who are trying to fall asleep at night.Studies have also showed that milk can be excellent for helping sleep because there is calcium（钙）in it, which helps people to relax.Milk is also sugar-free because it is the least fattening. The more fat you take in before bedtime, the greater burden you will have on your body at night.根据上文内容判断正（T）误（F）51. According to the passage, the mice fed with daytime milk were less active.52. The study has been tested on mice for ten times.53. People with sleeping problems have been advised to drink milk collected during the nightby researchers.54. Milk is good for sleep because there is melatonin and calcium in it.55. The writer shows the main idea of the passage by giving examples.E日常对话A: Hello, Bob! How is it going?B: Hello, Kate! ___56___ And you?A: Very well. What’s your plan for the summer?B: I had a Chinese course last year, and I’d like to go on with it this s ummer.A: How was the course? ___57___B: Yes. It seemed that way at first. But after a while it became easier.A: You were the best in the class, right?B: I did get an A. Well, could you tell me your summer plan? ___58___A: No, not this summer. ___59___B: That sounds very interesting. Can I go with you?A: ___60___ Oh, here comes the bus! Goodbye!第Ⅱ卷（非选择题共35分）IV.用所给词或短语的适当形式填空：(共10小题；每小题1分，满分10分)6161. —Could I ask if you _____ this to her till now?—Yes, but she refused to listen.62. _____ the usual activities, such as sailing and climbing, there was a writing class in thesummer camp.63. On a beach, run away from the sea and move quickly to _____ ground when an earthquakehappens.64. In order to catch the early bus, we had to stop _____ them. 65. As is known to all, ______ who breaks the rules should be punished. 66. He asked for two _____ leave to look after his sick father. 67. During the World War Ⅱ， millions of _____ lost their lives. 68. —Which sport are you in at the school sports meeting?—No decision yet. I think it _____ after discussing with my PE teacher.69. The students in Miss Wang’s class are all _____ to study hard to go to the university. 70. She won’t leave the TV set, _____ her supper is on the table.V .阅读理解填词：(共10个空；每空1分，满分10分)71—80空Smartphones and e-readers have become more common in recent years. Some people think that the days of paper books will be gone. But recent surveys have shown that traditional books are still popular a ___71___ readers.Research company Nielsen found that in the UK, sales of e-books are f ___72___ while sales of paper books are rising. More surprisingly, it’s young people who are buying the most physical books. Another survey of university students from the United States, Slovakia(斯洛伐克) and Japan also showed that 92 percent of t ___73___ preferred paper books.So what is b ___74___ paper book comeback(回归)?The m ost popular reason given was: “I like to hold the product.” It’s true that paper books bring a very different reading experience. Slovakian students said that they liked the smell of paper books. Other students said that they could get a s ___75___ of accomplishment (成就) when they finished reading a paper book.Paper books can also be very personal objects to lovers of reading. Many people like to sign their name on the i ___76___ cover. If the cover gets bent(弯曲) or there is a stain (污点) made on the page from coffee, all the better. The a ___77___ make the book even more personal. It’s as if readers of paper books make friends with them.This “friendship” people d ___78___ with books isn ’t just sentimental(情感的). Research has shown that readers remember more information reading from paper books t ___79___ e-books. People also more e ___80___ end up with headaches or sore eyes while reading e-books.So why not pick up a book and start reading?71. a_____ 72. f_____ 73. t_____ 74. b_____ 75. s_____ 76. i_____77. a_____78. d_____79. t_____80. e_____VI.初级写作：(满分15分)临近毕业，学校在学习小组内开展了初中阶段自评和组评活动，假设你是Rainbow 小组的组长ZhangHong ，请你为你的组员Li Ming 进行综合素质的评价，写一份素质报告。

2019年呼和浩特市中考试卷_文档

经典精品试卷2019年呼和浩特市中考试卷数学注意事项：本试卷满分120分．考试时间120分钟．一、选择题（本题包括10个小题，每题3分，共30分．在每小题给出的四个选项中，只有一项符合题意，请把该选项的序号填入题后面的括号内） 1．2-的倒数是（）A ．12-B ．12C ．2D ．2- 2．已知ABC △的一个外角为50°则ABC △一定是（）A ．锐角三角形B ．钝角三角形C ．直角三角形D ．钝角三角形或锐角三角形3．有一个正方体，6个面上分别标有1~6这6个整数，投掷这个正方体一次，则出现向上一面的数字是偶数的概率为（）A ．13B ．16C ．12 D ．144．如图，AB 是O ⊙的直径，点C 在圆上，CD AB DE BC ⊥，∥，则图中与ABC △相似的三角形的个数有（）A ．4个B ．3个C ．2个D ．1个5．用配方法解方程23610x x -+=，则方程可变形为（） A ．21(3)3x -=B ．213(1)3x -=C ．2(31)1x -=D ．22(1)3x -=6．为了了解我市参加中考的15000名学生的视力情况，抽查了1000名学生的视力进行统计分析．下面四个判断正确的是（） A ．15000名学生是总体 B ．1000名学生的视力是总体的一个样本 C ．每名学生是总体的一个个体 D ．上述调查是普查 7．半径为R 的圆内接正三角形的面积是（） A ．232RB ．2πRC ．2332R D ．2334R 8．在等腰ABC △中，AB AC =，一边上的中线BD 将这个三角形的周长分为15和12两个部分，则这个等腰三角形的底边长为（） A ．7 B ．11 C ．7或11 D ．7或10 9．右图哪个是左面正方体的展开图（）10．下列命题中，正确命题的个数为（）（1）若样本数据3、6、a 、4、2的平均数是4，则其方差为2CBDO AEA ．B ．C ．D ．（2）“相等的角是对顶角”的逆命题（3）对角线互相垂直的四边形是菱形（4）若二次函数23(1)y x k =-+图象上有三个点1)y ，（22y ，），1()y ，则321y y y >>A ．1个B ．3个C ．2个D ．4个二、填空题（本题包括6个小题，每题3分，共18分．本题要求把正确结果填在每题横线上，不需要解答过程）11．某种生物孢子的直径为0.00063m ，用科学记数法表示为 m ． 12．把24520ab a -因式分解的结果是．13．初三（1）班有48名学生，春游前，班长把全班学生对春游地点的意向绘制成了扇形统计图，其中“想去野生动物园的学生数”的扇形圆心角为120°，请你计算想去其他地点的学生有人． 14．如果|21||25|0x y x y -++--=，则x y +的值为． 15．如图，四边形ABDC 中，120ABD ∠=°，AB AC ⊥，BD CD ⊥，4AB CD ==，，则该四边形的面积是．16．10个人围成一个圆圈做游戏．游戏的规则是：每个人心里都想好一个数，并把自己想好的数如实地告诉与他相邻的两个人，然后每个人将与他相邻的两个人告诉他的数的平均数报出来，若报出来的数如图所示，则报3的人心里想的数是．三、解答题（本大题包括9个小题，共72人，解答应写出必要的演算步骤，证明过程或文字说明）17．（1）（5分）计算：220091)6sin 45(1)-++-°．（2）（5分）先化简再求值：22111a b b a a a a b ⎛⎫-+--÷⨯ ⎪+⎝⎭，其中12a =-，2b =-．18．（6分）要想使人安全地攀上斜靠在墙面上的梯子的顶端，梯子与地面所成的角α一般满足5075α°≤≤°．如图，现有一个长6m 的梯子，梯子底端与墙角的距离为3m ．A BDC1 2 3 4 5 6 7 8 9 10（1）求梯子顶端B 距离墙角C 的距离．（结果精确到0.1m ）（2）计算此时梯子与地面所成角α，并判断人能否安全使用这个梯子．1.7321.414）19．（7分）如图所示，正方形ABCD 的边CD 在正方形ECGF 的边CE 上，连接BE DG ，．（1）求证：BE DG =．（2）图中是否存在通过旋转能够互相重合的两个三角形？若存在，说出旋转过程；若不存在，请说明理由．20．（8分）试确定a 的取值范围，使不等式组114111.5(1)()0.5(21)22x x a x a x x +⎧+>⎪⎪⎨⎪-+>-+-⎪⎩ 只有一个整数解．21．（6分）在直角坐标系中直接画出函数||y x =的图象；若一次函数y kx b =+的图象分别过点(11)A -，，(22)B ，，请你依据这两个函数的图象写出方程组||y x y kx b =⎧⎨=+⎩的解．22．（9售目标，根据目标完成的情况对营业员进行适当的奖惩．为了确定一个适当的目标，商场统α BC A 墙地面E F GD A BC计了每个营业员在某月的销售额，并整理得到如下统计图（单位：万元）．请分析统计数据完成下列问题．（1）月销售额在哪个值的人数最多？中间的月销售额是多少？平均的月销售额是多少？（2）如果想让一半左右营业员都能达到目标，你认为月销售额定为多少合适？说明理由．23．（8分）如图，已知反比例函数m y x =（0x >）的图象与一次函数1522y x =-+的图象交于A B 、两点，点C 的坐标为112⎛⎫⎪⎝⎭，，连接AC AC ，平行于y 轴．（1）求反比例函数的解析式及点B 的坐标．（2）现有一个直角三角板，让它的直角顶点P 在反比例函数图象上的A B 、之间的部分滑动（不与A B 、重合），两直角边始终分别平行于x 轴、y 轴，且与线段AB 交于M N 、两点，试判断P 点在滑动过程中PMN △是否与CAB △总相似，简要说明判断理由．24．（8分）如图，在直角梯形ABCD 中，9012cm AD BC ABC AB ∠==∥，°，，8cm AD =，22cm BC =，AB 为O ⊙的直径，动点P 从点A 开始沿AD 边向点D 以1cm/s 的速度运动，动点Q 从点C 开始沿CB 边向点B 以2cm/s 的速度运动．P Q 、分别从点A C 、同时出发，当其中一个动点到达端点时，另一个动点也随之停止运动，设运动时间为(s)t ．（1）当t 为何值时，四边形PQCD 为平行四边形？（2）当t 为何值时，PQ 与O ⊙相切？25．（10分）某超市经销一种销售成本为每件40元的商品．据市场调查分析，如果按每件50元销售，一周能售出500件，若销售单价每涨1元，每周销售量就减少10件．设销售单价为每件x 元（50x ≥），一周的销售量为y 件．（1）写出y 与x 的函数关系式．（标明x 的取值范围）（2）设一周的销售利润为S ，写出S 与x 的函数关系式，并确定当单价在什么范围内变化时，利润随着单价的增大而增大？（3）在超市对该种商品投入不超过10000元的情况下，使得一周销售利润达到8000元，销售单价应定为多少？2019年呼和浩特市中考试卷C数学参考答案及评分标准二、填空题（本大题共6个小题，每小题3分，共18分）11．46.310-⨯12．5(32)(32)a b b+-13．32 14．6 1516．2-三、解答题（本大题9个小题，共72分）17．解：（1）)1200916sin45(1)-︒+-1+···································································· 3分11+=0 ·································································································· 5分（2）22111a b baa a a b⎛⎫-+--÷⨯⎪+⎝⎭=2221a a ba-+-11ab a b⨯⨯-+=(1)(1)11b b aa b a b+-⨯-+·=1ba b++······································································································ 3分将122a b=-=-，代入得：上式=12552-=-······················································ 5分18．解：（1）在Rt ACB△中，5.2mBC=·················································································2分（2）在Rt ACB△中，31cos62ACABα===60α∴=°···························································5分506075<︒<︒°∴可以安全使用. ···················································6分19．（1）证明：∵正方形ABCD和正方形ECGF90BC CD CE CG BCE DCG∴==∠=∠=，，°··········································· 3分在BCE△和DCG△中，BC AαBC CD BCE DCG CE CG =⎧⎪∠=∠⎨⎪=⎩(SAS)BCE DCG ∴△≌△BE DG ∴= ··························································································· 5分（2）存在．BCE △绕点C 顺时针旋转90°得到DCG △（或将DCG △逆时针旋转90°得到BCE △） ······································································································ 7分 20．解：解不等式①：414x x ++> 35x ∴>······································································································ 2分解不等式②：11111.50.52222a x a x x -->-+-即a x < ······································································································ 5分由数轴上解集表示可得：当12a <≤，只有一个整数解 ········································································· 8分21．解：画出图象得4分由图象可知，方程y xy kx b⎧=⎪⎨=+⎪⎩的解为2121x x y y ==-⎧⎧⎨⎨==⎩⎩或 ····························· 6分（画出函数y x =的图象得3分，画出y kx b =+22．①销售额为18万元的人数最多，中间的月销售额为20万元，平均月销售额为22万元 ························································································································ 7分 ②目标应定为20万元，因为样本数据的中位数为20 ··················································· 9分 23．（1）由112C ⎛⎫⎪⎝⎭，得(12)A ，，代入反比例函数my x=中，得2m = ∴反比例函数解析式为：2(0)y x x=> ···································································· 2分解方程组15222y x y x ⎧=-+⎪⎪⎨⎪=⎪⎩由15222x x -+=化简得：2540x x -+=(4)(1)0x x --= 1241x x ==，所以142B ⎛⎫ ⎪⎝⎭， ····································································································· 5分（2）无论P 点在AB 之间怎样滑动，PMN △与CAB △总能相似．因为B C 、两点纵坐标相等，所以BC x ∥轴．又因为AC y ∥轴，所以CAB △为直角三角形．同时PMN △也是直角三角形，AC PM BC PN ∥，∥． ∴PMN CAB △∽△． ··············································································· 8分（在理由中只要能说出BC x ∥轴，90ACB ∠=°即可得分．） 24．（1）解：∵直角梯形ABCD ，AD BC ∥PD QC ∴∥∴当PD QC =时，四边形PQCD为平行四边形．由题意可知：2AP t CQ t ==，82t t ∴-=38t = 83t =∴当83t s =时，四边形PQCD 为平行四边形． ························································ 3分（2）解：设PQ 与O ⊙相切于点H ，过点P 作PE BC ⊥，垂足为E 直角梯形ABCD AD BC ，∥PE AB ∴=由题意可知：2AP BE t CQ t ===，222BQ BC CQ t ∴=-=-222223EQ BQ BE t t t =-=--=-AB 为O ⊙的直径，90ABC DAB ∠=∠=° AD BC ∴、为O ⊙的切线AP PH HQ BQ ∴==，22222PQ PH HQ AP BQ t t t ∴=+=+=+-=- ············································· 5分在Rt PEQ △中，222PE EQ PQ +=22212(223)(22)t t ∴+-=-BQBQE即：28881440t t -+=211180t t -+= (2)(9)0t t --=1229t t ∴==， ····························································································· 7分因为P 在AD 边运动的时间为8811AD ==秒而98t =>9t ∴=（舍去）∴当2t =秒时，PQ 与O ⊙相切． ···································································· 8分25．解：（1）50010(50)y x =--=100010(50100)x x -≤≤ ······················································· 3分（2）(40)(100010)S x x =--210140040000x x =-+- 210(70)9000x =--+当5070x ≤≤时，利润随着单价的增大而增大． ····················································· 6分（3）2101400400008000x x -+-=2101400480000x x -+= 214048000x x -+= (60)(80)0x x --=126080x x ==， ································································································ 8分当60x =时，成本=[]4050010(6050)1600010000⨯--=>不符合要求，舍去．当80x =时，成本=[]4050010(8050)800010000⨯--=<符合要求．∴销售单价应定为80元，才能使得一周销售利润达到8000元的同时，投入不超过10000元． ········································································································· 10分精品文档文档说明(Word文档可以删除这部分)专注于精品小学试卷教案合同协议施工组织设计、期中、期末等测试文档解放你双手，时间就是生命，工作之外我们应该拥有更多享受生活的时间，本文档目的是为了节省读者的工作时间，提高读者的工作效率，读者可以放心下载文档进行编辑使用.文档来源网络，由于文档太多，审核有可能疏忽，如果有错误或侵权，请联系本店马上删除。

2019年内蒙古呼和浩特市中考语文试卷(word版,含答案)

2019年呼和浩特市中考试卷语文注意事项：1.考生务必将自己的姓名、准考证号填涂在试卷和答题卡的规定位置。

2.考生必须把答案写在答题卡上，在试卷上答题一律无效。

考试结束后，本试卷和答题卡一并交回。

3.本试卷满分120分。

考试时间150分钟。

一、积累与运用（18分）1.阅读下面的语句，根据拼音写汉字，给加点字注音，为句子空缺处选填恰当的词语。

（3分）（1）索溪峪的山，是一种páng bó的美：不是一峰独秀，也不是三五峰呼应，而是峰峦起伏，绵亘．蜿蜒。

这种美，是一种不拘一格、令人心荡神驰的美：或直插云天，或横拦绿水，或旁逸斜出，自成姿态，崛．起题毫“斜山”。

（2）黄河博大宽厚，柔中有刚；遇强则抗，勇往直前。

它被两岸的山、地下的石逼得忽上忽下、忽左忽右时（A.铸成 B.铸造）了自己伟大的性格。

这伟大只在冲过壶口的一刹那才（C.闪现 D.闪动）出来被我们看见。

2.下列短语与“心荡神驰”结构类型相同的是（1分）①山清水秀②不拘一格③余音绕梁④拔地而起⑤古往今来3.请选出下列句中没有语病的一项。

（2分）A.在我黄发垂髫初懂事理的时候，母亲告诫我：勿懒惰要勤学。

B.最近，自治区内外30多家新闻界对我校进行了连续报道。

C.他明智而远见的发言，获得了全校师生的肯定与赞赏。

D.他离开学校后，仍然无时无刻不记着老师对他的叮嘱。

4.名著阅读。

①他建立了中国革命化军队在游击战中不可轻侮的战斗力。

他和毛泽东的联合不是互相竞争的，而是相辅相成的。

②红军战士一个个站出来愿意冒生命危险。

四川军队大概从来没有见过这样的战士——这些人当兵不只是为了有个饭碗，这些青年为了胜利而甘于送命。

③沉着谦虚，说话轻声，眼光非常和蔼。

有铁一般的臂膀和腿。

喜欢运动，喜欢读书。

④他们的英勇故事流传很多，他们永远是愉快的，乐观的。

2019年呼和浩特市中考语文参考答案

略 31. 大作文(40分)
略
语文答案第 1 页 (共 2 页 ) 语文答案第 2 页 (共 2 页 )
2019年呼和浩特市中考试卷
语文参考答案及评分标准
第一部分:选择题(本题包括7小题,共 12分) 1(2)(1分) 3(2分) 7(2分) 8(2分) 11(2分) 19(1分) 27(2分)
A、C
D
D
B
C
D
D
第二部分 :(108 分 )
一、积累与运用 (15 分 )
1.(1)(2分) 磅礴 ɡèn jué
2.(1 分 ) ① ⑤
4. 名著阅读(5分)
(1)(3 分 )
人物
细节描述
作者评论⑥朱德③来自②红小鬼④
(2)(2 分 )示例 :《我爱这土地》《雪落在中国的土地上》《复活的土地》
在《我爱这土地》一诗中,“土地”象征贫穷落后、多灾多难的祖国。凝聚着诗人对祖国,
13.(5 分 )
(1)另一个人虽然和他一起学习 ,却比不上他。
(2)天色湛蓝,是它真正的颜色吗? 还是因为天空高远而看不到尽头呢?
四、现代文阅读 (28 分 ) (一 )记叙文阅读 (13 分 ) 14.(2 分 )“魅力 ”用得最好。开头就引起读者猜想又统领了文章内容。 15.(1 分 )我却没有机缘看日出 ,而只能从书本上去欣赏。 16.(3 分 )为写日出作铺垫。用对比或衬托的手法。 17.(3 分 )先写想看日出 ,结果却写日落 ;接着写了两位作家对日出的描写 ,然后写作者两次没有看到日出 ,最后才写作者看到日出的经过。 18.(4分)作者由欣赏日出的喜悦转而进入庄严的思考,面对“雄伟、瑰丽的日出景象”作者想到的是 “我们是早晨六点钟的太阳 ”,想到的是 “新中国瑰丽的景色 ”,从而揭示出文章的象征义。表达对祖国赤诚的爱。 (二 )说明文阅读 (9 分 ) 20.(1 分 )在世界的一隅 ,存在着人类的一大奇迹 ,这个奇迹就是圆明园。 21.(2 分 )③ 段画线句用比喻的修辞方法生动地描写出置身圆明园中的美好感受 ,说明圆明园的建筑美 ;① 段画线句用比喻的修辞方法形象地论证了圆明园属于幻想艺术。 22.(2 分 )说明焚烧圆明园是有领导、有目的、有指挥的行动。 23.(2 分 )揭示了侵略者的贪婪与无耻。 24.(2 分 )《圆明园的毁灭》以说明为主要表达方式 ,“附文 ”以议论为主要表达方式。 (三 )议论文阅读 (6 分 ) 25.(1分)1919年5月4 日 26.(1 分 )⑤ 段 28.(2 分 )“我们党领导人民不懈奋斗的历史进程 ” “人民的事业取得的全部成就 ” 29.(2 分 )共有5 项。最后一段中共有五个 “就是要 ”,可以确定。 (或 “最后一段中共有四个分号 ,可以确定 ”。) 五、作文 (50 分 ) 30. 小作文(10分)

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